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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 1516Sample 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)=1−P (Heads only)⇒P(Atleast one tail) =1−116=1516

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