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24-07-2017
Mathematics

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A fair coin is tossed three times.what is the probability that at least two heads will occur given that at most two heads have occurred?

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zrh2sfo zrh2sfo

24-07-2017

There are eight possible outcomes: HHH,HHT,HTH,HTT,THH,THT,TTH,TTT. Seven (all but HHH) have at most two heads. Three of these seven (HHT,HTH,THH) have at least two heads. The probability is therefore 3 in 7 or about 42.86%.

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