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Question

The probability of getting at least one tail, when four coins are tossed is .

A
14
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B
1516
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C
34
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D
116
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Solution

The correct option is B 1516
Sample space ⎢ ⎢ ⎢ ⎢ ⎢ ⎢TTHT,TTTH,TTTT,TTHHTHHT,THTH,THTT,THHHHTHT,HTTH,HTTT,HTHHHHHT,HHTH,HHTT,HHHH⎥ ⎥ ⎥ ⎥ ⎥ ⎥

Total number of outcomes = 16Favourable outcomes 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)=1P (Heads only)P(Atleast one tail) =1116=1516

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