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Selina solutions for Concise Mathematics Class 10 ICSE chapter 25 - Probability [Latest edition]

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Concise Mathematics Class 10 ICSE - Shaalaa.com

Chapter 25: Probability

Exercise 25(A)Exercise 25(B)Exercise 25(C)

Selina solutions for Concise Mathematics Class 10 ICSE Chapter 25 Probability Exercise Exercise 25(A) [Page 386]

Exercise 25(A) | Q 1.1 | Page 386

 A coin is tossed once. Find the probability of: 

 getting a tail 

Exercise 25(A) | Q 1.2 | Page 386

A coin is tossed once. Find the probability of: 

not getting a tail 

Exercise 25(A) | Q 2.1 | Page 386

A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn 

a black ball.

Exercise 25(A) | Q 2.2 | Page 386

A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn  

a red ball.

Exercise 25(A) | Q 2.3 | Page 386

A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn White ball.

Exercise 25(A) | Q 2.4 | Page 386

A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is: 

not a red ball. 

Exercise 25(A) | Q 2.5 | Page 386

A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn  

 not a black ball.

Exercise 25(A) | Q 3.1 | Page 386

In a single throw of a die, find the probability of getting a number: 

 greater than 4

Exercise 25(A) | Q 3.2 | Page 386

In a single throw of a die, find the probability of getting a number: 

 less than or equal to 4

Exercise 25(A) | Q 3.3 | Page 386

In a single throw of a die, find the probability of getting a number: 

not greater than 4.

Exercise 25(A) | Q 4.1 | Page 386

In a single throw of a die, find the probability that the number:  

will be an even number. 

Exercise 25(A) | Q 4.2 | Page 386

In a single throw of a die, find the probability that the number: 

 will not be an even number. 

Exercise 25(A) | Q 4.3 | Page 386

In a single throw of a die, find the probability that the number:will be an odd number.

Exercise 25(A) | Q 5.1 | Page 386

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will: 

 be a black card.

Exercise 25(A) | Q 5.2 | Page 386

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will: 

 not be a red card. 

Exercise 25(A) | Q 5.3 | Page 386

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will: 

 be a red card. 

Exercise 25(A) | Q 5.4 | Page 386

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will: 

 be a face card.

Exercise 25(A) | Q 5.5 | Page 386

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will 

 be a face card of red colour. 

Exercise 25(A) | Q 6.1 | Page 386

 If A and B are two complementary events then what is the relation between P(A) and P(B)?

Exercise 25(A) | Q 6.2 | Page 386

If the probability of happening an event A is 0.46. What will be the probability of not happening of the event A? 

Exercise 25(A) | Q 7.1 | Page 386

In a T.T. match between Geeta and Ritu, the probability of the winning of Ritu is 0.73. Find the probability of:

winning of Geeta

Exercise 25(A) | Q 7.2 | Page 386

In a T.T. match between Geeta and Ritu, the probability of the winning of Ritu is 0.73. Find the probability of: 

 not winning of Ritu

Exercise 25(A) | Q 8 | Page 386

In a race between Mahesh and John, the probability that John will lose the race is 0.54. Find the probability of:
(i) winning of Mahesh
(ii) winning of John

Exercise 25(A) | Q 9.1 | Page 386

Write the probability of a sure event

Exercise 25(A) | Q 9.2 | Page 386

 Write the probability of an event when impossible

Exercise 25(A) | Q 9.3 | Page 386

 For an event E, write a relation representing the range of values of P(E)

Exercise 25(A) | Q 10.1 | Page 386

In a single throw of die, find the probability of getting: 

 5 

Exercise 25(A) | Q 10.2 | Page 386

In a single throw of die, find the probability of getting: 

Exercise 25(A) | Q 10.3 | Page 386

In a single throw of die, find the probability of getting: 

a number less than 8 = `P(S) = (n(E))/(n(S)) = 0/6 = 0`

Exercise 25(A) | Q 10.4 | Page 386

In a single throw of die, find the probability of getting:

a prime number 

Exercise 25(A) | Q 11.1 | Page 386

A die is thrown once. Find the probability of getting:  

an even number 

Exercise 25(A) | Q 11.2 | Page 386

A die is thrown once. Find the probability of getting: 

a number between 3 and 8 

Exercise 25(A) | Q 11.3 | Page 386

A die is thrown once. Find the probability of getting: 

an even number or a multiple of 3 

Exercise 25(A) | Q 12.1 | Page 386

Which of following cannot be the probability of an event ? 

` 3/5  `

Exercise 25(A) | Q 12.2 | Page 386

Whivh of the following are cannot be the probability of an event? 

 2.7  

Exercise 25(A) | Q 12.3 | Page 386

Which of the following cannot be the probability of an event?  

43% 

Exercise 25(A) | Q 12.4 | Page 386

following are cannot be the probability of an event?  

 -0.6 

Exercise 25(A) | Q 12.5 | Page 386

following are cannot be the probability of an event? 

 -3.2

Exercise 25(A) | Q 12.6 | Page 386

Which of the following cannot be the probability of an event? 

 0.35

Exercise 25(A) | Q 13.1 | Page 386

A bag contains six identical black balls. A child withdraws one ball from the bag without looking into it. What is the probability that he takes out: 

 a white ball

Exercise 25(A) | Q 13.2 | Page 386

A bag contains six identical black balls. A child withdraws one ball from the bag without looking into it. What is the probability that he takes out: 

 a black ball

Exercise 25(A) | Q 14 | Page 386

A single letter is selected at random from the word ‘Probability’. Find the probability that it is a vowel.

Exercise 25(A) | Q 15 | Page 386

Ramesh chooses a date at random in january for a party. 

 January 
Mon   6 13 20 27
Tue    7 14 21 28
Wed  1 8 15 22 29
Thurs  2 9 16 23 30
Fri  3 10 17 24 31
sat  4 11 18 25  
Sun  5 12 19 26  

Find the probability that the choose:  

(1) a Wednesday 

(2) a friday 

(3) a tuesday or a saturday. 

Selina solutions for Concise Mathematics Class 10 ICSE Chapter 25 Probability Exercise Exercise 25(B) [Page 393]

Exercise 25(B) | Q 1.1 | Page 393

Nine cards (identical in all respects) are numbered 2 to 10. A card is selected from them at random. Find the probability that the card selected will be: 

an even number 

Exercise 25(B) | Q 1.2 | Page 393

Nine cards (identical in all respects) are numbered 2 to 10. A card is selected from them at random. Find the probability that the card selected will be: 

a multiple of 3 

Exercise 25(B) | Q 1.3 | Page 393

Nine cards (identical in all respects) are numbered 2 to 10. A card is selected from them at random. Find the probability that the card selected will be:  

an even number and a multiple of 3 

Exercise 25(B) | Q 1.4 | Page 393

Nine cards (identical in all respects) are numbered 2 to 10. A card is selected from them at random. Find the probability that the card selected will be:  

 an even number or a multiple of 3 

Exercise 25(B) | Q 2.1 | Page 393

Hundred identical cards are numbered from 1 to 100. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: 

a multiple of 5 

Exercise 25(B) | Q 2.2 | Page 393

Hundred identical cards are numbered from 1 to 100. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: 

a multiple of 6

Exercise 25(B) | Q 2.3 | Page 393

Hundred identical cards are numbered from 1 to 100. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: 

 between 40 and 60 

Exercise 25(B) | Q 2.4 | Page 393

Hundred identical cards are numbered from 1 to 100. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: 

 greater than 85

Exercise 25(B) | Q 2.5 | Page 393

Hundred identical cards are numbered from 1 to 100. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: 

 less than 48 

Exercise 25(B) | Q 3.1 | Page 393

From 25 identical cards, numbered 1, 2, 3, 4, 5, ……, 24, 25: one card is drawn at random. Find the probability that the number on the card drawn is a multiple of: 

3

Exercise 25(B) | Q 3.2 | Page 393

From 25 identical cards, numbered 1, 2, 3, 4, 5, ……, 24, 25: one card is drawn at random. Find the probability that the number on the card drawn is a multiple of: 

 5

Exercise 25(B) | Q 3.3 | Page 393

From 25 identical cards, numbered 1, 2, 3, 4, 5, ……, 24, 25: one card is drawn at random. Find the probability that the number on the card drawn is a multiple of:  

 3 and 5 

Exercise 25(B) | Q 3.4 | Page 393

From 25 identical cards, numbered 1, 2, 3, 4, 5, ……, 24, 25: one card is drawn at random. Find the probability that the number on the card drawn is a multiple of: 

 3 or 5 

Exercise 25(B) | Q 4.1 | Page 393

A die is thrown once. Find the probability of getting a number: 

less than 3

Exercise 25(B) | Q 4.2 | Page 393

A die is thrown once. Find the probability of getting a number: 

greater than or equal to 4

Exercise 25(B) | Q 4.3 | Page 393

A die is thrown once. Find the probability of getting a number:

less than 8 

Exercise 25(B) | Q 4.4 | Page 393

A die is thrown once. Find the probability of getting a number: 

greater than 6

Exercise 25(B) | Q 5 | Page 393

A book contains 85 pages. A page is chosen at random. What is the probability that the sum of the digits on the page is 8?

Exercise 25(B) | Q 6 | Page 393

A pair of dice is thrown. Find the probability of getting a sum of 10 or more, if 5 appears on the first die.

Exercise 25(B) | Q 7.1 | Page 393

If two coins are tossed once, what is the probability of getting: 

both heads

Exercise 25(B) | Q 7.2 | Page 393

If two coins are tossed once, what is the probability of getting: 

at least one head.

Exercise 25(B) | Q 7.3 | Page 393

If two coins are tossed once, what is the probability of getting: 

both heads or both tails

Exercise 25(B) | Q 8.1 | Page 393

Two dice are rolled together. Find the probability of getting: a total of at least 10 

Exercise 25(B) | Q 8.2 | Page 393

Two dice are rolled together. Find the probability of getting:  

a multiple of 2 on one die and an odd number on the other die.

Exercise 25(B) | Q 9.1 | Page 393

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is:  

a spade

Exercise 25(B) | Q 9.2 | Page 393

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is: 

a red card

Exercise 25(B) | Q 9.3 | Page 393

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is: 

a face card 

Exercise 25(B) | Q 9.4 | Page 393

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is: 

5 of heart or diamond

Exercise 25(B) | Q 9.5 | Page 393

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is: 

Jack or queen

Exercise 25(B) | Q 9.6 | Page 393

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is: 

ace and king

Exercise 25(B) | Q 9.7 | Page 393

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is: 

a red and a king 

Exercise 25(B) | Q 9.8 | Page 393

A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is: 

a red or a king

Exercise 25(B) | Q 10.1 | Page 393

A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is: 

red

Exercise 25(B) | Q 10.2 | Page 393

A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is: 

not red 

Exercise 25(B) | Q 10.3 | Page 393

A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is:  

 white

Exercise 25(B) | Q 10.4 | Page 393

A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is:  

 not white 

Exercise 25(B) | Q 10.5 | Page 393

A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is:  

 green or red 

Exercise 25(B) | Q 10.6 | Page 393

A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is: 

white or green 

 

Exercise 25(B) | Q 10.7 | Page 393

A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is:  

green or red or white 

Exercise 25(B) | Q 11.1 | Page 393

A ball is drawn at random from a box containing 12 white, 16 red and 20 green balls. Determine the probability that the ball drawn is:  

white 

Exercise 25(B) | Q 11.2 | Page 393

A ball is drawn at random from a box containing 12 white, 16 red and 20 green balls. Determine the probability that the ball drawn is: 

red 

Exercise 25(B) | Q 11.3 | Page 393

A ball is drawn at random from a box containing 12 white, 16 red and 20 green balls. Determine the probability that the ball drawn is: 

not green 

Exercise 25(B) | Q 11.4 | Page 393

A ball is drawn at random from a box containing 12 white, 16 red and 20 green balls. Determine the probability that the ball drawn is: 

red or white

Exercise 25(B) | Q 12.1 | Page 393

A card is drawn from a pack of 52 cards. Find the probability that the card drawn is: 

a red card 

Exercise 25(B) | Q 12.2 | Page 393

A card is drawn from a pack of 52 cards. Find the probability that the card drawn is: 

a black card

Exercise 25(B) | Q 12.3 | Page 393

A card is drawn from a pack of 52 cards. Find the probability that the card drawn is: 

a spade 

Exercise 25(B) | Q 12.4 | Page 393

A card is drawn from a pack of 52 cards. Find the probability that the card drawn is: 

an ace 

Exercise 25(B) | Q 12.5 | Page 393

A card is drawn from a pack of 52 cards. Find the probability that the card drawn is: 

 a black ace 

Exercise 25(B) | Q 12.6 | Page 393

A card is drawn from a pack of 52 cards. Find the probability that the card drawn is: 

ace of diamonds 

Exercise 25(B) | Q 12.7 | Page 393

A card is drawn from a pack of 52 cards. Find the probability that the card drawn is: 

 not a club

Exercise 25(B) | Q 12.8 | Page 393

A card is drawn from a pack of 52 cards. Find the probability that the card drawn is: 

a queen or a jack

Exercise 25(B) | Q 13.1 | Page 393

Thirty identical cards are marked with numbers 1 to 30. If one card is drawn at random, find the probability that it is: 

 a multiple of 4 or 6 

Exercise 25(B) | Q 13.2 | Page 393

Thirty identical cards are marked with numbers 1 to 30. If one card is drawn at random, find the probability that it is: 

a multiple of 3 and 5 

Exercise 25(B) | Q 13.3 | Page 393

Thirty identical cards are marked with numbers 1 to 30. If one card is drawn at random, find the probability that it is: 

 a multiple of 3 or 5

Exercise 25(B) | Q 14.1 | Page 393

In a single throw of two dice, find the probability of: 

a doublet 

Exercise 25(B) | Q 14.2 | Page 393

In a single throw of two dice, find the probability of:   

a number less than 3 on each dice 

Exercise 25(B) | Q 14.3 | Page 393

In a single throw of two dice, find the probability of:  

 an odd number as a sum 

Exercise 25(B) | Q 14.4 | Page 393

In a single throw of two dice, find the probability of: 

a total of at most 10

Exercise 25(B) | Q 14.5 | Page 393

In a single throw of two dice, find the probability of: 

an odd number on one dice and a number less than or equal to 4 on the other dice.   

Selina solutions for Concise Mathematics Class 10 ICSE Chapter 25 Probability Exercise Exercise 25(C) [Pages 394 - 396]

Exercise 25(C) | Q 1.1 | Page 394

A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is: 

 yellow 

Exercise 25(C) | Q 1.2 | Page 394

A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is: 

red 

Exercise 25(C) | Q 1.3 | Page 394

A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is: 

 not yellow

Exercise 25(C) | Q 1.4 | Page 394

A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is: 

neither yellow nor red 

Exercise 25(C) | Q 2.1 | Page 394

A dice is thrown once. What is the probability of getting a number: 

 greater than 2?

Exercise 25(C) | Q 2.2 | Page 394

A dice is thrown once. What is the probability of getting a number:

less than or equal to 2?  

Exercise 25(C) | Q 3.1 | Page 394

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: 

 a face card

Exercise 25(C) | Q 3.2 | Page 394

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: 

not a face card

Exercise 25(C) | Q 3.3 | Page 394

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: 

a queen of black card 

Exercise 25(C) | Q 3.4 | Page 394

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: 

a card with number 5 or 6

Exercise 25(C) | Q 3.5 | Page 394

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is  

a card with number less than 8

Exercise 25(C) | Q 3.6 | Page 394

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: 

a card with number between 2 and 9 

Exercise 25(C) | Q 4.1 | Page 394

In a match between A and B: 

the probability of winning of A is 0.83. What is the probability of winning of B?

Exercise 25(C) | Q 4.2 | Page 394

In a match between A and B: 

 the probability of losing the match is 0.49 for B. What is the probability of winning of A? 

 

Exercise 25(C) | Q 5.1 | Page 394

A and B are friends. Ignoring the leap year, find the probability that both friends will have:  

different birthdays? 

Exercise 25(C) | Q 5.2 | Page 394

A and B are friends. Ignoring the leap year, find the probability that both friends will have: 

 the same birthday? 

Exercise 25(C) | Q 6.1 | Page 394

A man tosses two different coins (one of Rs 2 and another of Rs 5) simultaneously. What is the probability that he gets: 

at least one head?  

Exercise 25(C) | Q 6.2 | Page 394

A man tosses two different coins (one of Rs 2 and another of Rs 5) simultaneously. What is the probability that he gets: 

 at most one head? 

Exercise 25(C) | Q 7.1 | Page 394

A box contains 7 red balls, 8 green balls and 5 white balls. A ball is drawn at random from the box. Find the probability that the ball is: 

white 

Exercise 25(C) | Q 7.2 | Page 394

A box contains 7 red balls, 8 green balls and 5 white balls. A ball is drawn at random from the box. Find the probability that the ball is: 

neither red nor white.

Exercise 25(C) | Q 8.1 | Page 394

All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting:  

a black face card 

Exercise 25(C) | Q 8.2 | Page 394

All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting: 

a queen 

Exercise 25(C) | Q 8.3 | Page 394

All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting: 

a black card 

 

Exercise 25(C) | Q 9 | Page 394

In a musical chairs game, a person has been advised to stop playing the music at any time within 40 seconds after its start. What is the probability that the music will stop within the first 15 seconds? 

Exercise 25(C) | Q 10.1 | Page 394

In a bundle of 50 shirts, 44 are good, 4 have minor defects and 2 have major defects. What is the probability that: 

it is acceptable to a trader who accepts only a good shirt? 

Exercise 25(C) | Q 10.2 | Page 394

In a bundle of 50 shirts, 44 are good, 4 have minor defects and 2 have major defects. What is the probability that: 

it is acceptable to a trader who rejects only a shirt with major defects?

Exercise 25(C) | Q 11.1 | Page 394

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: 

8

Exercise 25(C) | Q 11.2 | Page 394

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: 

13 

Exercise 25(C) | Q 11.3 | Page 394

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: 

less than or equal to 12

Exercise 25(C) | Q 12.1 | Page 394

Which of the following cannot be the probability of an event? 

3/7

Exercise 25(C) | Q 12.2 | Page 394

Which of the following cannot be the probability of an event? 

0.82 

Exercise 25(C) | Q 12.3 | Page 394

Which of the following cannot be the probability of an event? 

37% 

Exercise 25(C) | Q 12.4 | Page 394

Which of the following cannot be the probability of an event?  

-2.4 

Exercise 25(C) | Q 13 | Page 394

If P(E) = 0.59; find P(not E) 

Exercise 25(C) | Q 14.1 | Page 394

A bag contains a certain number of red balls. A ball is drawn. Find the probability that the ball drawn is:  

black 

Exercise 25(C) | Q 14.2 | Page 394

A bag contains a certain number of red balls. A ball is drawn. Find the probability that the ball drawn is: 

red 

Exercise 25(C) | Q 15 | Page 394

The probability that two boys do not have the same birthday is 0.897. What is the probability that the two boys have the same birthday? 

Exercise 25(C) | Q 16.1 | Page 394

A bag contains 10 red balls, 16 white balls and 8 green balls. A ball is drawn out of the bag at random. What is the probability that the ball drawn will be: 

 not red? 

Exercise 25(C) | Q 16.2 | Page 394

A bag contains 10 red balls, 16 white balls and 8 green balls. A ball is drawn out of the bag at random. What is the probability that the ball drawn will be:  

neither red nor green?

Exercise 25(C) | Q 16.3 | Page 394

A bag contains 10 red balls, 16 white balls and 8 green balls. A ball is drawn out of the bag at random. What is the probability that the ball drawn will be: 

 white or green? 

Exercise 25(C) | Q 17.1 | Page 395

A bag contains twenty Rs 5 coins, fifty Rs 2 coins and thirty Re 1 coins. If it is equally likely that one of the coins will fall down when the bag is turned upside down, what is the probability that the coin: 

 will be a Re 1 coin? 

Exercise 25(C) | Q 17.2 | Page 395

A bag contains twenty Rs 5 coins, fifty Rs 2 coins and thirty Re 1 coins. If it is equally likely that one of the coins will fall down when the bag is turned upside down, what is the probability that the coin: 

will not be a Rs 2 coin? 

Exercise 25(C) | Q 17.3 | Page 395

A bag contains twenty Rs 5 coins, fifty Rs 2 coins and thirty Re 1 coins. If it is equally likely that one of the coins will fall down when the bag is turned upside down, what is the probability that the coin: 

will neither be a Rs 5 coin nor be a Re 1 coin?

Exercise 25(C) | Q 18 | Page 395

A game consists of spinning arrow which ccomes to rest pointing at one of the number 1,2,3,4,5,6,7,8,9,10,11,12; as shown below       

  

If the outcomes are equally likely, find the probability that the pointer will point at : 

(1) 6

(2) an even number 

(3) a prime number 

(4) a number greater than 8 

(5) a number   less than or equal to 9 

(6) a number between 3 and 11 

Exercise 25(C) | Q 19.1 | Page 395

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting: 

a queen of red color

Exercise 25(C) | Q 19.2 | Page 395

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting: 

a black face card 

Exercise 25(C) | Q 19.3 | Page 395

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting: 

the jack or the queen of the hearts 

 

Exercise 25(C) | Q 19.4 | Page 395

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting: 

a diamond 

Exercise 25(C) | Q 19.5 | Page 395

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting:  

a diamond or a spade 

Exercise 25(C) | Q 20.1 | Page 395

From a deck of 52 cards, all the face cards are removed and then the remaining cards are shuffled. Now one card is drawn from the remaining deck. Find the probability that the card drawn is: 

a black card

Exercise 25(C) | Q 20.2 | Page 395

From a deck of 52 cards, all the face cards are removed and then the remaining cards are shuffled. Now one card is drawn from the remaining deck. Find the probability that the card drawn is: 

8 of red color 

Exercise 25(C) | Q 20.3 | Page 395

From a deck of 52 cards, all the face cards are removed and then the remaining cards are shuffled. Now one card is drawn from the remaining deck. Find the probability that the card drawn is: 

a king of black color   

Exercise 25(C) | Q 21.1 | Page 395

Seven cards:- the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled. One card is then picked up at random. 

What is the probability that the card drawn is the eight or the king? 

Exercise 25(C) | Q 21.2 | Page 395

Seven cards:- the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled. One card is then picked up at random. 

 If the king is drawn and put aside, what is the probability that the second card picked up is: 

an ace? 

a king? 

Exercise 25(C) | Q 22.1 | Page 395

A box contains 150 bulbs out of which 15 are defective. It is not possible to just look at a bulb and tell whether or not it is defective. One bulb is taken out at random from this box. Calculate the probability that the bulb taken out is: 

a good one 

Exercise 25(C) | Q 22.2 | Page 395

A box contains 150 bulbs out of which 15 are defective. It is not possible to just look at a bulb and tell whether or not it is defective. One bulb is taken out at random from this box. Calculate the probability that the bulb taken out is:  

a defective one 

Exercise 25(C) | Q 23.1 | Page 395

4 defective pens are accidentally mixed with 16 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is drawn at random from the lot. What is the probability that the pen is defective?  

Exercise 25(C) | Q 23.2 | Page 395

 Suppose the pen drawn in (i) is defective and is not replaced. Now one more pen is drawn at random from the rest. What is the probability that this pen is:
a) defective
b) not defective?

Exercise 25(C) | Q 24.1 | Page 395

A bag contains 100 identical marble stones which are numbered 1 to 100. If one stone is drawn at random from the bag, find the probability that it bears:  

a perfect square number 

Exercise 25(C) | Q 24.2 | Page 395

A bag contains 100 identical marble stones which are numbered 1 to 100. If one stone is drawn at random from the bag, find the probability that it bears:  

a number divisible by 4

Exercise 25(C) | Q 24.3 | Page 395

A bag contains 100 identical marble stones which are numbered 1 to 100. If one stone is drawn at random from the bag, find the probability that it bears: 

a number divisible by 5 

Exercise 25(C) | Q 24.4 | Page 395

A bag contains 100 identical marble stones which are numbered 1 to 100. If one stone is drawn at random from the bag, find the probability that it bears: 

a number divisible by 4 or 5 

Exercise 25(C) | Q 24.5 | Page 395

A bag contains 100 identical marble stones which are numbered 1 to 100. If one stone is drawn at random from the bag, find the probability that it bears:  

 a number divisible by 4 and 5 

Exercise 25(C) | Q 25.1 | Page 395

A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on table top and a die, very small in size, is dropped on the rectangular paper without seeing towards it. If the die falls and lands on paper only, find the probability that it will fall and land:  

 inside the circle 

 

 

Exercise 25(C) | Q 25.2 | Page 395

A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on table top and a die, very small in size, is dropped on the rectangular paper without seeing towards it. If the die falls and lands on paper only, find the probability that it will fall and land: 

outside the circle 

Exercise 25(C) | Q 26.1 | Page 395

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is: 

4 or 5 

Exercise 25(C) | Q 26.2 | Page 395

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is: 

7, 8 or 9

Exercise 25(C) | Q 26.3 | Page 395

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is: 

between 5 and 8 

Exercise 25(C) | Q 26.4 | Page 395

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is: 

more than 10

Exercise 25(C) | Q 26.5 | Page 395

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is: 

less than 6 

Exercise 25(C) | Q 27.1 | Page 395

Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting: 

exactly two heads 

Exercise 25(C) | Q 27.2 | Page 395

Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting: 

at least two heads 

Exercise 25(C) | Q 27.3 | Page 395

Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting: 

at most two heads 

Exercise 25(C) | Q 27.4 | Page 395

Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting 

all tails

Exercise 25(C) | Q 27.5 | Page 395

Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting: 

at least one tail 

Exercise 25(C) | Q 28 | Page 395

Two dice are thrown simultaneously. What is the probability that: 

4 will not come up either time?  

4 will come up at least once?

Exercise 25(C) | Q 29.1 | Page 396

Cards marked with numbers 1, 2, 3 ……… 20 are well shuffled and a card is drawn at random. What is the probability that the number on the card is:  

a prime number 

Exercise 25(C) | Q 29.2 | Page 396

Cards marked with numbers 1, 2, 3 ……… 20 are well shuffled and a card is drawn at random. What is the probability that the number on the card is: 

divisible by 3 

Exercise 25(C) | Q 29.3 | Page 396

Cards marked with numbers 1, 2, 3 ……… 20 are well shuffled and a card is drawn at random. What is the probability that the number on the card is: 

a perfect square 

 

Exercise 25(C) | Q 30.1 | Page 396

Offices in Delhi are open for five days in a week (Monday to Friday). Two employees of an office remain absent for one day in the same particular week. Find the probability that they remain absent on: 

the same day

Exercise 25(C) | Q 30.2 | Page 396

Offices in Delhi are open for five days in a week (Monday to Friday). Two employees of an office remain absent for one day in the same particular week. Find the probability that they remain absent on: 

 consecutive day 

Exercise 25(C) | Q 30.3 | Page 396

Offices in Delhi are open for five days in a week (Monday to Friday). Two employees of an office remain absent for one day in the same particular week. Find the probability that they remain absent on:  

 different days 

Exercise 25(C) | Q 31 | Page 396

A box contains some black balls and 30 white balls. If the probability of drawing a black ball is two-fifths of a white ball, find the number of black balls in the box.

Exercise 25(C) | Q 32.1 | Page 396

From a pack of 52 playing cards, all cards whose numbers are multiples of 3 are removed. A card is now drawn at random. What is the probability that the card drawn is A face card (King, Jack or Queen). 

Exercise 25(C) | Q 32.2 | Page 396

From a pack of 52 playing cards, all cards whose numbers are multiples of 3 are removed. A card is now drawn at random. What is the probability that the card drawn is An even-numbered red card? 

Exercise 25(C) | Q 33 | Page 396

A die has 6 faces marked by the given numbers as shown below

The die is thrown once. What is the probability of getting

1) a positive integer

2) an integer greater than -3.

3) the smallest integer.

Exercise 25(C) | Q 34 | Page 396

A bag contains 5 white balls, 6 red balls and 9 green balls. A ball is drawn at random from the bag. Find the probability that the ball is drawn is:

1) a green ball

2) a white or a red ball

3) is neither a green ball nor a white ball.

Exercise 25(C) | Q 35 | Page 396

A game of numbers has cards marked with 11, 12, 13, … 40. A card is drawn at random. Find the probability that the number on the card drawn is :

1) A perfect square

2) Divisible by 7

Exercise 25(C) | Q 36 | Page 396

Sixteen cards are labelled as a, b, c, ……………. m, n, o, p. They are put in a box and shuffled.a boy is asked to draw a card from the box. What is the probability that the card drawn is:

(1) a vowel

(2) a consonant

(3) none of the letters of the word median

Exercise 25(C) | Q 37 | Page 396

A box contains a certain number of balls. On each of 60% balls, letter A is marked. On each of 30% balls, letter B is marked and on each of remaining balls, letter C is marked. A ball is drawn from the box at random. Find the probability that the ball drawn is:

i. marked C

ii. A or B

iii. neither B nor C

Exercise 25(C) | Q 38 | Page 396

A box contains a certain number of balls. Some of these balls are marked A, some are marked B and the remaining are marked C. When a ball is drawn at random from the box P(A) = `1/3` and P(B) =`1/4`. If there are 40 balls in the box which are marked C, find the number of balls in the box. 

Chapter 25: Probability

Exercise 25(A)Exercise 25(B)Exercise 25(C)
Concise Mathematics Class 10 ICSE - Shaalaa.com

Selina solutions for Concise Mathematics Class 10 ICSE chapter 25 - Probability

Selina solutions for Concise Mathematics Class 10 ICSE chapter 25 (Probability) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Concise Mathematics Class 10 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Concise Mathematics Class 10 ICSE chapter 25 Probability are Introduction to Probability, Probability - A Theoretical Approach, Sample Space, Type of Event - Complementry, Simple Problems on Single Events, Random Experiments.

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