Probability Class 11 MCQs Questions with Answers

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

2. 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

3. 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

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

5. 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

6. 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

7. 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

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

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

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

11. 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

12. 8 coins are tossed at a time. The probability of getting 6 heads up is

13. 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:

14. 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

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