Q. 45.0( 3 Votes )

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

Answer :

Given: A coin is tossed four times.

To Find: Write the sample space for the given experiment.

Explanation: Here, The coins is tossed four time, then the no. of samples

2^{4}=16

So, The sample space will be

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

Hence, The sample space is {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

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