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.

Explanation

Let.us denote the black balls by .B_1, ~B_2, ~B_3. and red balls by .R_1, R_2 .. Then a sample space of the experiment is. .S=(T, B_1),(T, B_2),(T, B_3),(T, R_1),(T, dotR_2),(H, l),(H, 2),(H, 3),(H, 4),(H, 5),(H, 6).
Here .TB_1. means tail on the cọin and ball .B_1. is drawn. .TR_i 1. means tail on thè coin and ball .R_i. is drawn. Similarly .H_1. means head on the coin and the number .i. on the die.