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Question

A coin is tossed 4 times. Match the probability of the different outcomes given below.

A
1516
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B
116
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C
38
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Solution

Sample space =
⎢ ⎢ ⎢ ⎢ ⎢ ⎢TTHT,TTTH,TTTT,TTHHTHHT,THTH,THTT,THHHHTHT,HTTH,HTTT,HTHHHHHT,HHTH,HHTT,HHHH⎥ ⎥ ⎥ ⎥ ⎥ ⎥

Total number of outcomes =16
Favourable outcome for getting all heads ={HHHH}

Number of favourable outcomes =1

Probability of getting all heads =Number of favourable outcomesTotal number of outcomes=116

P(atleast one tail) = 1 - P (heads only)
P(Atleast one tail) =1116
=1516

Favourable outcomes for 2 heads and 2 tails ={HHTT,TTHH,THHT,HTTH,THTH,HTHT}=6

P(2 heads and 2 tails) =616

=38

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