In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment:
A coin is tossed three times

Solution:

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

When a coin is tossed three times, the total number of possible outcomes is 2³ = 8

Thus, when a coin is tossed three times, the sample space is given by:

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.1 Question 1

In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment: A coin is tossed three times.

Summary:

When a coin is tossed three times the sample space(S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}