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Question

Nick tosses three coins simultaneously. What is the probability of getting at least two heads?

A
34
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B
58
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C
78
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D
12
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Solution

The correct option is D 12
Let E be the event 'getting at least two head'.
Sample space, S = {(HHH), (HHT), (HTH), (THH), (THT),(TTH), (HTT), (TTT)}.
Total no. of outcomes n(S) = 8
Favourable outcomes for 'getting atleast two heads', F = {(HHH), (HHT), (HTH), (THH)}.
No. of favourable outcomes = 4
Probability P(E) = Number of outcomes favorable to ENumber of all possible outcomes of the experiment = 48 = 12

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