MEDIUM

12th CBSE

IMPORTANT

Earn 100

One bag contains $4$ white and $5$ black balls. Another bag contains $6$ white and $7$ black balls. A ball is transferred from first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball drawn is white.

50% studentsanswered this correctly

Important Questions on Probability

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>EXERCISE>Q 11

An urn contains

10

white and

3

black balls. Another urn contains

3

white and

5

black balls. Two are drawn from first urn and put into the second urn and then a ball is drawn from the latter. Find the probability that its is a white ball.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>EXERCISE>Q 12

A bag contains

6

red and

8

black balls and another bag contains

8

red and

6

black balls. A ball is drawn from the first bag and without noticing its colour is put in the second bag. A ball is drawn from the second bag. Find the probability that the ball drawn is red in colour.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>EXERCISE>Q 13

Three machines

E_{1}

E_{2}

E_{3}

in a certain factory produce

50 %

25 %

and

25 %

, respectively, of the total daily output of electric bulbs. It is known that

4 %

of the tubes produced one each of the machines

E_{1}

and

E_{2}

are defective, and that

5 %

of those produced on

E_{3}

are defective. If one tube is picked up at random from a day's production, then calculate the probability that it is defective.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>EXERCISE>Q 1

The contents of urns I, II, III are as follows:
Urn I :

1

white,

2

black and

3

red balls
Urn II :

2

white,

1

black and

1

red balls
Urn III :

4

white,

5

black and

3

red balls.
One urn is chosen at random and two balls are drawn. They happen to be white and red. What is the probability that they come from Urns I, II, III?

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>EXERCISE>Q 2

A bag

A

contains

2

white and

3

red balls and another bag

B

contains

4

white and

5

red balls. One ball is drawn at random from a bag chosen at random and it is found to be red. Find the probability that it was drawn from bag

B

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>EXERCISE>Q 3

Three urns contains

2

white and

3

black balls;

3

white and

2

black balls and

4

white and

1

black ball respectively. One ball is drawn from an urn chosen at random and it was found to be white. Find the probability that it was drawn from the first urn.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>EXERCISE>Q 4

The contents of three urns are as follows:
Urn $1 : 7$ white, $3$ black balls, Urn $2 : 4$ white, $6$ black balls, and Urn $3 : 2$ white, $8$ black balls. One of these urns is chosen at random with probabilities $0.20, 0.60$ , and $0.20$ respectively. From the chosen urn two balls are drawn at random without replacement. If both these balls are white, what is the probability that these came from urn $3 ?$

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>EXERCISE>Q 5

Suppose a girl throws a die. If she gets

1

2

, she tosses a coin three times and notes the number of tails. If she gets

3, 4, 5

6

, she tosses a coin once and notes whether a 'head' or 'tail' is obtained. If she obtained exactly one 'tail', then what is the probability that she threw

3, 4, 5

6

with the die?

One bag contains 4 white and 5 black balls. Another bag contains 6 white and 7 black balls. A ball is transferred from first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball drawn is white.

Important Questions on Probability

Learn and Prepare for any exam you want !

One bag contains $4$ white and $5$ black balls. Another bag contains $6$ white and $7$ black balls. A ball is transferred from first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball drawn is white.