A die is thrown repeatedly until a six comes up. What is the sample space for this experiment?

Solution:

In this experiment, six could come back either in the first throw, the second throw, the third throw, or until six is obtained.

Hence, the sample space of this experiment is given by

S = {6, (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (1, 1, 6), (1, 2, 6), .... , (1, 5, 6),

       (2, 1, 6), (2, 2, 6), .... , (2,5, 6), ...., (5, 1, 6), (5, 2, 6), ....}

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.1 Question 16

A die is thrown repeatedly until a six comes up. What is the sample space for this experiment?

Summary:

The sample space for the experiment(S) = {6, (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (1, 1, 6), (1, 2, 6), .... , (1, 5, 6), (2, 1, 6), (2, 2, 6), .... , (2,5, 6), ...., (5, 1, 6), (5, 2, 6), ....}