# Class 12 Math Chapter 13 MCQ Question Answer – Probability NCERT Solution

NCERT Class 12 Math Probability Chapter 13 MCQ Question Answer for Preparation of Exams. Here we Provide Class 12 Math Question Answer, Important Questions, MCQ for Various State Boards Students like CBSE, Haryana, uttar pradesh, mp and other state students.

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NCERT Class 12 Math Chapter 13 Probability MCQ Question Answer Solution.

## Probability Class 12 Math Chapter 13 MCQ Question Answer

Multiple Choice Questions and Answer for Easy to Understand the Chapter.

1. A bag contains 10 white and 15 black balls. Two balls are drawn one by one without replacement. Find the probability of one white and one black ball.
(A) 1/4
(B) 1/3
(C) 1/2
(D) 1

Ans. (C) 1/2

2. If  p(A) = 5/26, p(B) = 5/13,   A and B are independent, find p(A/B).
(A) 5/26
(B) 2/13
(C) 5/13
(D) 2/5

Ans. (A) 5/26

3. Find the probability of getting an even prime number on each die, when a pair of dice is rolled.
(A) 0
(B) 1
(C) 1/36
(D) 5/36

Ans. (C) 1/36

4. If E and F be two events such that P(E) = 0.6, P(F ) = 0.3 and P(E ∩ F ) = 0.2, then find P (E/F ).
(A) 1/4
(B) 1/4
(C) 2/3
(D) 1/3

Ans. (C) 2/3

5. A random variable X has the following probability distribution :

 X 0 1 2 3 4 5 6 P(X) 0.2 k 2k 2k 3k k 0.1

Value of k is
(A) 7/90
(B) 11/90
(C) 13/90
(D) 29/90

Ans. (A) 7/90

6. A bag contains 4 white and 6 black balls. Two balls are drawn at random one after the other without replacement. Find the probability that both the balls are black.
(A) 1/10
(B) 2/5
(C) 1/3
(D) None of the above

Ans. (C) 1/3

7. If P(A) = 3/5, P(B) = 1/5 and  P(A ∩B) = 1/10 , Then P(B/A) is
(A) 1/2
(B) 1/4
(C) 2/3
(D) 1/6

Ans. (D) 1/6

8. A random variable X has the following probability distribution :

 X 0 1 2 3 4 5 6 7 P(X) 0 k 2k 2k 3k k2 2k2 7k2 + k

Value of k is
(A) 1/10
(B) 1/8
(C) 1/5
(D) 1/3

Ans. (A) 1/10

9. If P(A) = 0.3, P(B ) = 0.6 and A and B are independent events, then find the value of P(A and B not)
(A) 0.72
(B) 0.36
(C) 0.28
(D) None of the above

Ans. (C) 0.28

10. A bag contains 4 white and 6 black balls. Two balls are drawn at random with replacement. Find the probability that first
ball is white and second ball is black.
(A) 3/25
(B) 6/25
(C) 2/15
(D) 1/25

Ans. (B) 6/25

11. Two cards are drawn with replacement from a well shuffled pack of 52 cards. Find the probability that both cards are aces.
(A) 1/52
(B) 1/169
(C) 1/16
(D) None of the above.

Ans. (B) 1/169

12. A card is drawn from a well-shuffled deck of 52 cards and then a second card is drawn. The probability that the first card is a spade and the second card is a club if the first card is not replaced is :
(A) 13/204
(B) 11/204
(C) 17/204
(D) None of these

Ans. (A) 13/204

13. The probability of drawing a spade on each of the two consecutive draws from a well-shuffled pack of cards without replacement is :
(A) 1/13
(B)2/13
(C) 1/17
(D) 2/17

Ans. (C) 1/17

14. If a fair coin is tossed 8 times, the probability of getting 4 heads is:
(A) 35/128
(B) 53/64
(C) 105/128
(D) None of these

Ans. (A) 35/128

15. The probability of obtaining an odd prime number on each die, when a pair of die is rolled, is :
(A) 1/3
(B) 0
(C) 1/9
(D) 1/36

Ans. (C) 1/9

16. The mean of the numbers obtained on throwing a die having written one on three faces, 2 on two faces and 5 on one face, is :
(A) 5
(B) 8/3
(C) 1
(D) 2

Ans. (D) 2

17. A die is thrown 6 times. If  “getting an odd number” is a success, then the probability of 5 successes is :
(A) 3/32
(B) 23/5
(C) 32/5
(D) 15/32