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3 March, 03:16

A fair die is rolled 8 times.

a. what is the probability that the die comes up 6 exactly twice?

b. what is the probability

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  1. 3 March, 03:32
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    A. P (first 2 are 6 and last 6 not 6) = 1/6 * 1/6 * (5/6) ^6 = 0.0093027

    there are 8C2 ways of getting 2 6's in 8 throws

    = 8C2 = 28

    So the required probability = 28 * 0.0093027 = 0.26 to nearest hundredth.
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