###### Advertisements

###### Advertisements

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is an odd number.

###### Advertisements

#### Solution

Total number of cards = 49

Total number of outcomes = 49

The odd numbers form 1 to 49 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47 and 49.

Total number of favourable outcomes = 25

∴ Required probability `="Total number of favourable outcomes"/"Total number of outcomes"=25/49`

#### APPEARS IN

#### RELATED QUESTIONS

Find the class mark of the classes 20-30 and 30-40.

Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.

P is the event that the number so formed is even.

Q is the event that the number so formed is greater than 50.

R is the event that the number so formed is divisible by 3.

Then write the sample space S and events P, Q, R using set notation.

A bag contains, white, black and red balls only. A ball is drawn at random from the bag.If the probability of getting a white ball is 3/10 and that of a black ball is 2/5 then find the

probability of getting a red ball. If the bag contains 20 black balls, then find the total number of balls in the bag.

A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.

Find the class mark of the class 35 - 39.

Two dice are thrown. Find the probability of getting :

1) The sum of the numbers on their upper faces is at least 9.

2) The sum of the numbers on their upper faces is 15.

3) The number on the upper face of the second die is greater than the number on the upper face of the first die.

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a black king.

A target shown in Fig. below consists of three concentric circles of radii, 3, 7 and 9 cm

respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region?

In below Fig., points A, B, C and D are the centers of four circles that each have a radius of length one unit. If a point is selected at random from the interior of square ABCD. What is the probability that the point will be chosen from the shaded region?

All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is an ace.

A Group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient (ii) extremely kind or honest.

Which of the above values you prefer more?

Choose the correct alternative answer for the following question.

Which number cannot represent a probability?

Choose the correct alternative answer for the following question.

A die is rolled. What is the probability that the number appearing on upper face is less than 3 ?

Choose the correct alternative answer for the following question.

There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5 ?

A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a red balloon

A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue?

The following table shows the blood-groups of employees in a bank.

Event C is : ‘the blood-group of an employee is AB.’

Blood - group | A | B | AB | 0 |

No. of employees | 20 | 40 | 15 | 25 |

If an employee is chosen at random, what is the probability that his blood-group is AB ?

Fill in the following boxes and find the answer

n(S)= ______

n(C)= ______

p(C)=________=_________

A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is red?

A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is not red?

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?

that the difference of the numbers appearing on the top of two dice is 2.

A dice is rolled twice. Find the probability that 5 will come up exactly one time

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is an odd number

All kings and queens are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is randomly drawn from it. Find the probability that this card is a black card.

What is the probability that a number selected at random from the numbers 3, 4, 5, ....9 is a multiple of 4?

A bag contains 3 red and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red.

The probability of throwing a number greater than 2 with a fair dice is

A card is accidently dropped from a pack of 52 playing cards. The probability that it is an ace is

Aarushi sold 100 lottery tickets in which 5 tickets carry prizes. If Priya purchased a ticket, what is the probability of Priya winning a prize?

A two digit number is to be formed using the digits 0, 1, 2, 3. Repetition of the digits is allowed. Find the probability that a number so formed is a prime number.

A coin is tossed once. What is the probability of getting a tail?

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is

- extremely patient,
- extremely kind or honest.

Which of the above values you prefer more?

A coin is tossed 800 times and the outcomes were noted as: Head:415 ,Tail:385

Find the probabiity of the min showing up (i)a head ,(ii) a tai .

Two coins are tossed together . what is the probabilty of getting different faces on the coins ?

Two dice are rolled simultaneously, write down the total number of possible outcomes.

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at randam.What is the probability that the marble taken out wil be not green?

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

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.

Basketball players John, Vasim, Akash were practising the ball drop in the basket. The probabilities of success for John, Vasim and Akash are`4/5` , 0.83 and 58% respectively. Who had the greatest probability of success ?

A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a blue balloon

A die is thrown once. Find the probability of getting a number which (i) is a prime number (ii) lies between 2 and 6.

**Two dice are thrown. Find the probability of the following events:**

Event A : The product of the numbers on their upper faces is 10.

Event B : The sum of the numbers on their upper faces is 10

From the same place at 7 a.m. A started walking in the north at a speed of 4 km/hr. after 1 hour, B started cycling in the east at a speed of 8 km/hr. at what time will they be at a distance of 20 km apart from each other?

A die is thrown, find the probability of getting:

a prime number

A coin is tossed. What is the probability of getting:

a head?

A coin is tossed twice. Find the probability of getting: two heads

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 is drawn is:

a red ball.

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 is drawn is:

not a black ball.

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?
- a black ball?

Three identical coins are tossed together. What is the probability of obtaining:

all heads?

A book contains 92 pages. A page is chosen at random. What is the probability that the sum of the digits in the page number is 9?

From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of

2

From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of

2 and 3

Two coins are tossed together. Find the probability of getting: no head

Two coins are tossed together. Find the probability of getting: at most one head:

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 less than 6

A coin is tossed once. Find the probability of getting a head

A coin is tossed once. Find the probability of not getting a head

What is the probability of drawing a King or a Queen or a Jack from a deck of cards?

What is the probability of throwing an even number with a single standard dice of six faces?

There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Red ball?

When two coins are tossed, what is the probability that two heads are obtained?

Two dice are rolled, find the probability that the sum is equal to 1

Two dice are rolled, find the probability that the sum is less than 13

A manufacturer tested 7000 LED lights at random and found that 25 of them were defective. If a LED light is selected at random, what is the probability that the selected LED light is a defective one

In a football match, a goalkeeper of a team can stop the goal, 32 times out of 40 attempts tried by a team. Find the probability that the opponent team can convert the attempt into a goal

What is the probability that the spinner will not land on a multiple of 3?

Frame two problems in calculating probability, based on the spinner shown here.

Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is ______.

In a throw of a dice, the probability of getting the number 7 is ______.

A diece is tossed two times. The number of possible outcomes is ______.

The probability of getting a prime number is the same as that of a composite number in a throw of a dice.

In a throw of a dice, the probability of getting an even number is the same as that of getting an odd number.

To verify pythagoras theorem is a random experiment.

A dice is rolled once. What is the probability that the number on top will be less than 1

A dice is rolled once. What is the probability that the number on top will be a factor of 36

A dice is rolled once. What is the probability that the number on top will be a factor of 6

Sonia picks up a card from the given cards.

Calculate the probability of getting B card bearing number > 7

A card is drawn at random from a pack of well shuffled 52 playing cards. Complete the following activity to find the probability that the card drawn is:

**Event A:** The card drawn is an ace.

**Event B:** The card drawn is a spade.

**Activity:** 'S' is the sample space.

∴ n(S) = 52

**Event A:** The card drawn is an ace.

∴ n(A) = `square`

P(A) = `square` ......(formula)

∴ P(A) = `square/52`

∴ P(A) = `square/13`

**Event B:** The card drawn is a spade.

∴ n(B) = `square`

P(B) = `(n(B))/(n(S))`

∴ P(B) = `square/4`

A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is multiple of 5?

A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a perfect square?

A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a prime number?