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.

Answer

N/a

Explanation

When a die is thrown 1,2,3,4, 5 or 6 obtained.
When an even number 2,4 or 6 occur a coin is tossed to get H or T.
When an odd number 1,3, or 5 occur, a coin is tosssed twice to get `HH,HT,TH` or `"TT"`
`:.` Sample space `={2H,2T,4H,4T,6H,6T,1HH`
`1HT,1TH,1"TT",3HH,3HT,3TH`,
`3"TT",5HH,5HT,5TH,5"TT"}`