Ans.
(a). A simple event is an event in which there is one outcome at a single time and all outcomes are equally likely. However, the compound event consists of more than one outcome at a single time and it combines at least two single events.
The sample space contains all the possible events, for this game first a coin flip and after that, a die is tossed.
So, the probability of coin comes head or tail is (1/2) and the probability of a number on a die is (1/6).
The probability of a coin flip and a die tossed is (1/2)*(1/6) = (1/12).
(b). The sample space for this game is given as,
S = (H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)
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