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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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.
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
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
Answer
Ans. (A) 3/32