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Question

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes.

Outcome3heads2heads1heads0headsFrequency22768319

What is the probability of getting

(i) not more than one head?
(ii) at least two heads?
(iii) exactly two heads? [3MARKS]

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Solution

Solution: 1 Mark each.

Number of times 0 heads or 1 head was obtained = 83 + 19 = 102
Probability of getting not more than one head = 102200 = 0.51
Number of times 2 heads or 3 heads was obtained = 76 + 22 = 98
Probability of getting at least 2 heads = 98200 = 0.49
Number of times 2 heads was obtained = 76
Probability of getting exactly 2 heads = 76200 = 0.38


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