An experiment consists of tossing a coin and then throwing it a second time if a head occurs. If a tail occurs on the first toss,then a die is rolled once. Find the sample space.

(N/A) coin has two faces: head $(H)$ and tail $(T)$.
$A$ die has six faces that are numbered from $1$ to $6,$ with one number on each face.
If the first toss is a head $(H)$,the coin is tossed again,resulting in $(HH)$ or $(HT)$.
If the first toss is a tail $(T)$,a die is rolled,resulting in $(T1), (T2), (T3), (T4), (T5),$ or $(T6)$.
Thus,the sample space $S$ is given by:
$S = \{HH, HT, T1, T2, T3, T4, T5, T6\}$