Describe the sample space for the indicated experiment: $A$ coin is tossed and then a die is rolled only in case a head is shown on the coin.
(N/A) coin has two faces: head $(H)$ and tail $(T)$.
$A$ die has six faces numbered from $1$ to $6$.
According to the experiment,if a tail $(T)$ appears,the die is not rolled. If a head $(H)$ appears,the die is rolled.
Therefore,the sample space $S$ is the set of all possible outcomes:
$S = \{H1, H2, H3, H4, H5, H6, T\}$
$A$ die has six faces numbered from $1$ to $6$.
According to the experiment,if a tail $(T)$ appears,the die is not rolled. If a head $(H)$ appears,the die is rolled.
Therefore,the sample space $S$ is the set of all possible outcomes:
$S = \{H1, H2, H3, H4, H5, H6, T\}$
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