1. 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

2. 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

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

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

5. 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

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

7. 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

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

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

10. 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