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Question

# The probability of getting at least one tail in 4 throws of a coin is__.

A
116
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B
14
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C
1516
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D
18
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Solution

## The correct option is C 1516Sample space =⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣TTHT,TTTH,TTTT,TTHHTHHT,THTH,THTT,THHHHTHT,HTTH,HTTT,HTHHHHHT,HHTH,HHTT,HHHH⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦ Total number of outcomes = 16 Favourable 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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