Amit M Agarwal Solutions for Chapter: Fundamentals of Probability, Exercise 1: Work Book Exercise 21.1

Two coins are tossed once, then the sample space is

A coin is tossed twice. If the second throw result in a tail, a die is thrown. Then, the total number of the outcomes of this experiment is

Event can be classified into various types on the basis of the

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events.

$A :$ The sum is greater than $8$ .

$B : 2$ occurs on either die.

$C :$ The sum is at least $7$ and a multiple of $3$.

Which pair of these events is mutually exclusive?

A pair of dice is rolled, if the outcome is a doublet, a coin is tossed. Then, the total number of outcomes for this experiment is

An experiment consists of rolling a die until a $2$ appears. Then, number of elements of the sample space corresponding to the event that the $2$ appears not later than the $k^{th}$ roll of the die is