The probability of not getting 53 Sundays in a leap year is

A man is known to speak truth 8 out of 11 times. He takes out two balls from a bag containing 3 white, 2 black and 5 red balls. What is the probability that he reports both the balls to be white?

The probability distribution of a random variable X is

Match List-I with List-II

Choose the correct answer from the options given below:

A doctor is to visit a patient. It is known that the probabilities that he will come by train, bus, scooter or by other means of transport are respectively $\frac{3}{10}, \frac{1}{5}, \frac{1}{10}$ and $\frac{2}{5}$. The probabilities that he will be late are $\frac{1}{4}, \frac{1}{3}$ and $\frac{1}{12}$, if he comes by train, bus and scooter respectively, but if he comes by other means of transport, then he will not be late. When he arrives, he arrives late.

The probability that he comes by bus is:

The mean number of heads in two tosses of a coin is :

If the events A and B are independent, then which of the following statements are true?

(A) P(A'B) = [1-P(A)] P(B)

(B) A and B are mutually exclusive

(C) P(A) = P(B)

(D) P(A'B') = [1-P(A)] [1-P(B)]

Choose the correct answer from the options given below:

For a Binomial distribution, B(n,p), where p+q=1, the sum and product of mean and variance are 8 and 12 respectively, when the value of n is: