Question

A coin is tossed and then a die is rolled only in case a head is shown on the coin. Describe the sample space for this experiment.

Answer 1

When a coin is tossed either head or tail will turn up. And, when head turns up then a dice is rolled otherwise not.

So, the total number of elementary events associated with this experiment is
$1+6\times 1=7$

Thus, the sample space will be

S= {T, (H, 1), (H,2) (H,3) (H,4) (H, 5), (H, 6)}