Answer
$S=\{HH1, HH2, HH3, HH4, HH5, HH6, HT1, HT2, HT3, HT4, HT5, HT6, TH1, TH2, TH3, TH4, TH5, TH6, TT1, TT2, TT3, TT4, TT5, TT6, \}$ and the probability of each outcome is $\frac{1}{24}$.
Work Step by Step
A fair coin has two sides: head (H) or tail (T), each has the same chance $\frac{1}{2}$ to appear. A die has six numbers $1,2,3,4,5,6$. For tossing two fair coins once then a fair die, we can construct the sample space as $S=\{HH1, HH2, HH3, HH4, HH5, HH6, HT1, HT2, HT3, HT4, HT5, HT6, TH1, TH2, TH3, TH4, TH5, TH6, TT1, TT2, TT3, TT4, TT5, TT6, \}$ and the probability of each outcome is $\frac{1}{24}$.
