Find the probability that the birth days of six different persons will fall in exactly two calendar months.

Find the probability that the birthday of 7 persons will fall on 7 different days of the week assuming equal probability for each of these days.

Two cards are drawn from a well shuffled pack of cards find the probability that they are of different colour when they are selected together.

Find the probability that birthdays of any two members out of five members in a family fall on Sunday.

There are three persons aged 50, 60, and 70 years. The probability to live 10 years more is 0.8 for a 50 years old, 0.5 for as 60 years old and 0.2 for a 70 years old person. Find the probability that at least two of the three persons will remain alive 10 years hence.

n persons are seated on n chairs at a round table. Find the probability that two specified persons are sitting next to each other.

What is the probability that if a fair coin is tossed six times we will get (i) exaclty two heads (ii) at least two heads?

An executive committee of 6 is formed from 4 ladies and 7 gentlemen. Find the probability that the committee will consist of (i) exactly 2 lady members (ii) at least two lady members.

Six fair dice are thrown independently. The probability that three are exactly 2 different pairs (A pair is an ordered combination like 2,2,1,3,5,6 is

In family there are 5 children. Find the probability that (i) all of them will have different birthdays (ii) two of them will have the same birthday and (iii) at least two of them will have the same birthday (1 year = 365 days).