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In: Statistics and Probability

How many ways can a person toss a coin 7 times so that the number of...

How many ways can a person toss a coin 7 times so that the number of heads is between 4 and 6 inclusive?

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Expert Solution

Number of ways to toss a coin so that the number of heads is between 4 and 6 = number of ways to get the number of heads of 4 + number of ways to get the number of heads of 5 + number of ways to get the number of heads of 6

                                                          = 7C4 + 7C5 + 7C6

                                                          = [7! / (4! * (7 - 4)!)] + [7! / (5! * (7 - 5)!)] + [7! / (6! * (7 - 6)!)]

                                                          = 35 + 21 + 7

                                                          = 63

orchestra answered 2 years ago
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