An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on 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

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}