#### Question

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 R_{1}, R_{2} and the 3 black balls as B_{1}, B_{2}, and B_{3}.

The sample space of this experiment is given by

S = {TR_{1}, TR_{2}, TB_{1}, TB_{2}, TB_{3}, H1, H2, H3, H4, H5, H6}

Is there an error in this question or solution?

Solution 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. Concept: Random Experiments.