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16 August, 14:00

A fair die is rolled 8 times.

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

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  1. 16 August, 15:10
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    P (first 2 rolls = 6 and rest not 6) = 1/6 * 1/6 * (5/6) ^6 = 0.00930272

    there are 8C2 ways of obtaining exactly 2 6's in 8 throws = 28 ways

    so required probability is 0.00930272 * 28 = 0.26 to nearest hundredth
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