Question
Write the sample space for the experiment of tossing a coin four times.

Answer

When a coin is tossed once, there are two possible outcomes:a head $( H )$ and a tail ( T $)$.
When a coin is tossed four times, the total number of possible outcomes is $2^4=16$.
Thus, when a coin is tossed four times, the sample space is given by
$S ={ HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}$.

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