Write the probability that two persons have the same birthday (considering the relevant year not to be a leap year).

Bag A contains three red and four white halls, bag B contains two red and three white bails. If one ball is drawn from bag A and two balls from hag B , find the probability that (i) one ball is red and two balls are white. (ii) all the three balls are of the same color.

Suppose 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? (Assume that these are equal number of males and females)

Two compounds having the same crystal structures and analogous formulae are called :

Write the probability of getting exactly two heads in a single toss of two unbiased coins.

By examining the chest X-ray, the probability that TB is detected when a person is actually suffering is 0.99. The probability of an healthy person diagnosed to have TB is 0.001. In à certain city, 1 in 1000 people suffers from TB. A person is selected at random and is diagnosed to have TB. What is the probability that he actually has TB?

Out of a group of 30 honest people, 20 always speak the truth. Two persons are selected at random from the group. Find the probability distribution of the number of selected persons who speak the truth. Also, find the mean of the distribution.

Five boys and three girls are playing a chess tournament. All boys have the same probability p of winning the tournament and all the girls have the same probability q of winning. If p= 2q, find the probability that a boy wins the tournament