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Chapters
2: Banking
3: Shares and dividends
4: Linear inequations
5: Quadratic equations
6: Factorisation of polynomials
7: Ratio and proportion
8: Matrices
9: Arithmetic and geometric progression
Chapter 10: Reflection
11: Section formula
12: Equation of a line
13: Similarity
14: Locus
15: Circles
16: Constructions
17: Mensuration
18: Trigonometric identities
19: Trigonometric tables
20: Heights and distances
21: Measures of central tendency
▶ 22: Probability
•: Competency focused practice questions
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Solutions for Chapter 22: Probability
Below listed, you can find solutions for Chapter 22 of CISCE Nootan for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई.
Nootan solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई 22 Probability Exercise 22A [Pages 505 - 506]
Two coins are tossed simultaneously. Find the probability of getting two heads.
Two coins are tossed simultaneously. Find the probability of getting at least one head.
Two coins are tossed simultaneously. Find the probability of getting no head.
Three coins are tossed. Find the probability of getting exactly 2 heads.
Three coins are tossed. Find the probability of getting at least 2 heads.
Three coins are tossed. Find the probability of getting at least 1 head and 1 tail.
A die is thrown. Find the probability of getting 5.
A die is thrown. Find the probability of getting 2 or 4.
A die is thrown. Find the probability of getting an odd number.
A die is thrown. Find the probability of getting a multiple of 3.
A die is thrown. Find the probability of getting a prime number.
A die is thrown once. Find the probability of getting an even number.
A die is thrown once. Find the probability of getting a number greater than 3.
A die is thrown once. Find the probability of getting a number between 3 and 6.
A pair of dice is thrown once. Find the probability that both have the same number (i.e., doublet).
In a single throw of two dice, find the probability of getting a total of 10.
In a single throw of two dice, find the probability of getting a sum greater than 9.
In a single throw of two dice, find the probability of getting a total of 9 or 11.
In a single throw of two dice, find the probability of getting a doublet of even numbers.
In a throw of a pair of dice, find the probability of getting a sum less than 6.
In a throw of a pair of dice, find the probability of getting a sum less than 7.
In a throw of a pair of dice, find the probability of getting a sum more than 7.
In a throw of a pair of dice, find the probability of getting 8 as the sum.
Two dice are thrown. Find the probability of getting an odd number of one die and a multiple of 3 on the other.
Two dice are thrown simultaneously. Find the probability of getting prime number on each die.
Two dice are thrown once. Find the probability of getting an even number on the 1st die or a total of 8.
A pair of dice is thrown. Find the probability that the sum of the numbers obtained is more than ten.
Out of 400 bulbs in a box, 15 bulbs are defective. One bulb is taken out at random from the box. Find the probability that the drawn bulb is not defective.
A card is drawn at random from a pack of 52 playing cards. Find the probability that the card drawn is neither an ace nor a black king.
15 cards, numbered 1, 2, 3...., 15 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears an even number.
15 cards, numbered 1, 2, 3...., 15 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears a number divisible by 2 or 3.
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a king or a jack.
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a non-ace.
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a red card.
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a king nor a queen.
A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is white or blue.
A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is red or black.
A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is not white.
A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is neither white nor black.
A box contains 20 balls bearing numbers 1, 2, 3, 4, ..., 20. A ball is drawn at random from the box. What is the probability that the number on the ball is an odd number?
A box contains 20 balls bearing numbers 1, 2, 3, 4, ..., 20. A ball is drawn at random from the box. What is the probability that the number on the ball is divisible by 2 or 3?
A box contains 20 balls bearing numbers 1, 2, 3, 4, ..., 20. A ball is drawn at random from the box. What is the probability that the number on the ball is prime number?
A box contains 20 balls bearing numbers 1, 2, 3, 4, ..., 20. A ball is drawn at random from the box. What is the probability that the number on the ball is not divisible by 10?
A bag contains 5 white, 2 red and 3 black balls. A ball is drawn at random. What is the probability that the ball drawn is a red ball?
A letter of the word ‘SECONDARY’ is selected at random. What is the probability that the letter selected is not a vowel?
A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red.
A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is black or white.
A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is not black.
A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is white.
A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red.
A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is not black.
A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red or white.
A box contains 30 cards, numbered from 1 to 30. A card is drawn from the box at random. Find the probability that the number on the drawn card is even.
A box contains 30 cards, numbered from 1 to 30. A card is drawn from the box at random. Find the probability that the number on the drawn card is prime.
A box contains 30 cards, numbered from 1 to 30. A card is drawn from the box at random. Find the probability that the number on the drawn card is a multiple of 7.
A box contains 20 cards, numbered from 1 to 20. A card is drawn from the box at random. Find the probability that the number on the drawn card is even.
A box contains 20 cards, numbered from 1 to 20. A card is drawn from the box at random. Find the probability that the number on the drawn card is prime.
A box contains 20 cards, numbered from 1 to 20. A card is drawn from the box at random. Find the probability that the number on the drawn card is a multiple of 3.
From a well shuffled pack of 52 cards, two black kings and two black jacks are removed. From the remaining cards, a card is drawn at random. Find the probability that the drawn card is neither an ace nor a king.
A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is red or white.
A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is not black.
A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is neither white nor black.
There are 30 cards of same size in a bag, on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.
Find the probability that a number selected from the numbers 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card nor a queen.
From a pack of 52 playing cards, jacks, queens, kings and aces of red colour are removed. From the remaining a card is drawn at random. Find the probability that the card drawn is a black queen.
From a pack of 52 playing cards, jacks, queens, kings and aces of red colour are removed. From the remaining a card is drawn at random. Find the probability that the card drawn is a red card.
From a pack of 52 playing cards, jacks, queens, kings and aces of red colour are removed. From the remaining a card is drawn at random. Find the probability that the card drawn is a black jack.
From a pack of 52 playing cards, jacks, queens, kings and aces of red colour are removed. From the remaining a card is drawn at random. Find the probability that the card drawn is a picture card (jacks, queens and kings are picture cards).
Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a prime number.
Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a multiple of 7.
Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a multiple of 3 or 5.
A bag contains 4 white balls, 5 red balls and 8 black balls and 3 blue balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is white.
A bag contains 4 white balls, 5 red balls and 8 black balls and 3 blue balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is red or blue.
A bag contains 4 white balls, 5 red balls and 8 black balls and 3 blue balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is not black.
A bag contains 4 white balls, 5 red balls and 8 black balls and 3 blue balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is neither black nor red.
A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a king.
A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a king of red suit.
A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a club.
A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting neither a king nor a jack.
A box contains 19 balls bearing numbers 1, 2, 3, ..., 19. A ball is drawn at random from the box. What is the probability that the number of the ball is a prime number?
A box contains 19 balls bearing numbers 1, 2, 3, ..., 19. A ball is drawn at random from the box. What is the probability that the number of the ball is divisible by 3 or 5?
A box contains 19 balls bearing numbers 1, 2, 3, ..., 19. A ball is drawn at random from the box. What is the probability that the number of the ball is neither divisible by 5 nor by 10?
A box contains 19 balls bearing numbers 1, 2, 3, ..., 19. A ball is drawn at random from the box. What is the probability that the number of the ball is an even number?
A bag contains 4 white balls, 6 red balls, 7 black balls and 3 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is white?
A bag contains 4 white balls, 6 red balls, 7 black balls and 3 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is not black?
A bag contains 4 white balls, 6 red balls, 7 black balls and 3 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is neither white nor black?
A bag contains 4 white balls, 6 red balls, 7 black balls and 3 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is red or white?
A card is drawn at random from a well shuffled deck of 52 playing cards. Find the probability that the card drawn is a card of spade or an ace.
A card is drawn at random from a well shuffled deck of 52 playing cards. Find the probability that the card drawn is a red king?
A card is drawn at random from a well shuffled deck of 52 playing cards. Find the probability that the card drawn is neither a king nor a queen.
A card is drawn at random from a well shuffled deck of 52 playing cards. Find the probability that the card drawn is either a king or queen.
A die has 6 faces marked by the given number as shown below:
| 1 | 2 | 3 | –1 | –2 | –3 |
The die is thrown once. What is the probability of getting a positive number?
A die has 6 faces marked by the given number as shown below:
| 1 | 2 | 3 | –1 | –2 | –3 |
The die is thrown once. What is the probability of getting an integer greater than – 3?
A die has 6 faces marked by the given number as shown below:
| 1 | 2 | 3 | –1 | –2 | –3 |
The die is thrown once. What is the probability of getting the smallest integer?
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.
The following letters A, D, M, N, O, S, U, Y of the English alphabet are written on separate cards and put in a box. The cards are well shuffled and one card is drawn at random. What is the probability that the card drawn is a letter of the word,
- MONDAY?
- Which does not appear in MONDAY?
- Which appears both in SUNDAY and MONDAY?
Nootan solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई 22 Probability Exercise 22B [Page 508]
Multiple Choice Questions Choose the correct answer from the given four options in each of the following questions:
A letter is chosen at random from all the letters of the English alphabets. The probability that the letter chosen is a vowel, is ______.
`4/26`
`5/26`
`21/26`
`5/24`
The probability of a sure event is ______.
–1
0
1
`1/2`
The probability of an impossible event is ______.
–1
0
1
`1/2`
Which of the following cannot be the probability of an event?
20%
40%
100%
150%
Which of the following cannot be the probability of an event?
`-1/2`
0
1
`1/2`
When a die is thrown, the probability of getting a multiple of 3, is ______.
`1/6`
`1/2`
`1/3`
1
In two toss of a coin, the probability of getting at least one head is ______.
`3/4`
`1/2`
`1/4`
1
The sum of probabilities of all elementary events of an experiment is ______.
1
0
`1/2`
–1
A card is selected at random from a pack of 52 cards. The probability of getting an ace is ______.
`4/13`
`3/13`
`2/13`
`1/13`
The probability of winning a match by Hari is 0.8. The probability that he does not win, is ______.
0
0.8
0.2
can’t say
Nootan solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई 22 Probability Exercise 22C [Page 509]
Assertion-Reason Type Questions
In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given:
Assertion: A die is thrown once and the probability of getting an even number is `2/3.`
Reason: The sample space for even numbers on a die is {2, 4, 6}.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given:
Assertion: The probability of getting head in one toss of a coin is `1/2`.
Reason: The sample space in one toss of a coin is {H, T}.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given:
Assertion: A card is selected at random from a pack of 52 cards. The probability of getting a club is `1/4`.
Reason: There are 4 cards of club in a pack of 52 cards.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given:
Assertion: The probability of winning a match by Sachin is `1/3`. The probability that he does not win will be `2/3`.
Reason: Probability of an event cannot be negative.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
Solutions for 22: Probability
Nootan solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 22 - Probability
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Concepts covered in मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 22 Probability are Concept of Probability, Elementary Types of Events and Properties of Probability, Measurement of Probability, Standard Results for Outcomes in Probability, Problems based on Probability.
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