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Answered 2011-09-26 13:43:04

The probability of one event or the other occurring is the probability of one plus the probability of the other. The probability of getting 3 heads is the probability of 3 heads (1/23) multiplied by the probability of 4 tails (1/24) multiplied by the number of possible ways this could happen. This is 7c3 or 35. Thus the probability of 3 heads is 0.2734375. The probability of 2 tails is the probability of 2 tails (1/22) multiplied by the probability of 5 heads (1/25) multiplied by the number of ways this could happen. That is 7c5 or 21. Thus the probability of 2 tails is 0.1640625

The probability of one or the other is the sum of their probabilities:

0.1640625 + 0.2734375 = 0.4375

Thus the probability of getting 3 heads or 2 tails is 0.4375.

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