Write the sample space for the experiment of tossing a coin four … - Vidyadip

Question

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

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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 $\text{S = \{HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT\}.}$

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