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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 1516
Sample 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) = 1116
= 1516


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