# How to Set Up a Guessing Problem

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

A. If 3 distinct brands are chosen at random from the 6 and if a consumer is not allowed to repeat any answers, what is the probability that all 3 brands could be identified by just guessing?

B. If repeats are allowed in the 3 brands chosen at random from the 6 and if the consumer is allowed to repeat answers, what is the probability of correct identification of all 3 by just guessing?

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#### Solution Preview

A. Probability that the first brand is guessed correctly = 1/6

Probability that the second brand is guessed ...

#### Solution Summary

The solution helps set up a guessing problem.

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