Probability Class 11 MCQs Questions with Answers

1. A bag contains 5 brown and 4 white socks . A man pulls out two socks. The probability that both the socks are of the same colour is

2. 8 coins are tossed at a time. The probability of getting 6 heads up is

3. One card is drawn from a pack of cards, each of the 52 cards being equally likely to be drawn. The probability that the card drawn is red and a queen is:

4. In a simultaneous toss of two coins, the probability of getting no tail is:

5. A coin is tossed once. If a head comes up, then it is tossed again and if a tail comes up, a dice is thrown. The number of points in the sample space of experiment is

6. Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is

7. The probability of getting the number 6 at least once in a regular die if it can roll it 6 times?

8. A certain company sells tractors which fail at a rate of 1 out of 1000. If 500 tractors are purchased from this company, what is the probability of 2 of them failing within first year

9. When a coin is tossed 8 times getting a head is a success. Then the probability that at least 2 heads will occur is

10. A couple has two children. The probability that both children are females if it is known that the elder child is a female is

11. A random variable X has poison distribution with mean 2. Then, P (X > 1.5) equals

12. On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that he visits A first and B last is

13. For k = 1, 2, 3, the box B_k contains k red balls and (k + 1) white balls. Let P(B₁) = 1/2, P(B₂) = 1/3, P(B₃) = 1/6. A box is selected at random and a ball is drawn from it. If a red ball is drawn, then probability that it has come from box B₂ is

14. Let A and B are two mutually exclusive events and if P(A) = 0.5 and P(B ̅) = 0.6 then P(A∪B) is

15. The probability of getting 53 Sundays in a leap year is