In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment: A coin is tossed and then a die is rolled only in case a head is shown on the coin

Solution:

A coin has two faces: head (H) and tail (T).

A die has six faces that are numbered from 1 to 6, with one number on each face. Thus, when a coin is tossed and then a die is rolled only in case a head is shown on the coin, the sample space is given by:

S = {H1, H2, H3, H4, H5, H6, T} (because the die is NOT rolled when the coin shows a tail)

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.1 Question 5

In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment: A coin is tossed and then a die is rolled only in case a head is shown on the coin

Summary:

When a coin is tossed and then a die is rolled only in case a head is shown on the coin, the sample space(S) = {H1, H2, H3, H4, H5, H6, T}