An experiment consists rolling a die then tossing a coin once if the number on the die is even. If the number n the die is odd, the coin is tossed twice. Write the sample space for this experiment.

Explanation

When a die is rolled, the possible outcomes are 1,2,3,4,5,6

When a coin is tossed , the possible outcomes are H,T,br>
So, the sample space for the given experiment is

S={2H,2T,4H,4T,6H,6T,1HH,1HT,1TH,1TT,3HH,3HT,3TH,3TT,5HH,5HT,5TH,5TT}