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A total of 8 popular brands of cola are to be used in a blind taste study for consumer recognition. (a) If 5 distinct brands

A total of 8 popular brands of cola are to be used in a blind taste study for consumer recognition.

(a) If 5 distinct brands are chosen at random from the 8 and if a consumer is not allowed to repeat any answers, what is the probability that all 5 brands could be identified by just guessing?

(b) If repeats are allowed in the 5 brands chosen at random from the 8, and if a consumer is allowed to repeat answers, what is the probability that all 5 brands are identified correctly just by guessing?

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