Sarvesh K Verma Solutions for Chapter: Probability, Exercise 1: Introductory Exercise

Four cards are drawn at random from a pack of $52$ cards. Find the probability of getting all the four cards of same number.

Four cards are drawn at random from a pack of $52$ cards. Find the probability of getting all the four cards of different numbers.

What is the probability that a number selected from the numbers $1, 2 ,3,\dots , 20$, is a prime number when each of the given numbers is equally likely to be selected?

Tickets are numbered from $1$ to $18$ are mixed up together and then $9$ ticket is drawn at random. Find the probability that the ticket has a number, which is a multiple of $2$ or $3.$

In a lottery of 100 tickets numbered $1$ to $100,$ two tickets are drawn simultaneously. Find the probability that both the tickets drawn have prime numbers.

The odds in favour of an event are $2:7$. Find the probability of occurrence of this event.

The odds against of an event are $5 : 7,$ find the probability of occurrence of this event.

If there are two children in a family, find the probability that there is atleast one girl in the family.