98. Each contestant on a quiz show is asked to specify one of six possible categories from

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98. Each contestant on a quiz show is asked to specify one of six possible categories from which questions will be asked.

Suppose P(contestant requests category i)

1 6

and successive contestants choose their categories independently of one another. If there are three contestants on each show and all three contestants on a particular show select different categories, what is the probability that exactly one has selected category 1?

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