An experiment consists of rolling a die and then tossing a coin 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.
An experiment consists of rolling a die and then tossing a coin 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.
A die has six faces that are numbered from $1$ to $6,$ with one each face. Among these number, $2,\,4,$ and $6$ are even numbers, while $1,\,3,$ and $5$ are odd numbers.
A coin has two faces: head $(H)$ and tail $(T)$.
Hence, the sample space of this experiment is given by:
$S =\{2 H ,\, 2 T ,\, 4 H$ , $4 T\, , 6 H ,\, 6 T$ , $1 HH ,\, 1 HT\, , 1 TH$ , $1 TT ,\, 3 HH ,\, 3 HT$ , $3 TH ,\, 3 TT ,\, 5 HH$ , $5 HT,\,5 TH , 5 TT \}$
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