Question

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

Answer 1

Given: A coin is tossed and there is box which contain 2 red and 3 black balls. 

To Find: Write the sample space for the given experiment. 

Explanation: when coin is tossed , there are 2 outcome {H, T} 

According to question, If tail turned up, the a ball is drawn from a box. 

So, Sample for This experiment S₁ = {(T, R₁)(T, R₂)(T, B₁)(T, B₂)(T, B₃)} 

Now, If Head is turned up, then die is rolled

So, Sample space for this experiment S₂={(H, 1)(H, 2)(H, 3)(H, 4)(H, 5)(H, 6)} 

The required sample space will be S = S₁

U S₂ 

So, S={(T, R1), (T, R2), (T, B1), (T, B2), (T, B3), (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)} 

Hence, S is the elementary events associated with the given experiment.