A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment

Solution:

The box contains 2 red balls and 3 black balls. Let us denote the 2 red balls as R₁, R₂ and the 3 black balls as B₁, B₂ and B₃.

If the coin shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. Then the possible outcomes are {TR₁, TR₂, TB₁, TB₂, TB₃}.

If the coin shows a head, we throw a die. Then the possible outcomes are {H1, H2, H3, H4, H5, H6}.

Thus, the sample space of this experiment is given by

S = {TR₁, TR₂, TB₁, TB₂, TB₃, H1, H2, H3, H4, H5, H6}

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.1 Question 15

A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.

Summary:

The sample space for the experiment(S) = {TR₁, TR₂, TB₁, TB₂, TB₃, H1, H2, H3, H4, H5, H6}