A local microbrewery believes it produces the best tasting dark beer in town. To

Question

A local microbrewery believes it produces the best tasting dark beer in town. To make its case, seven volunteers are asked to participate in a beer tasting contest. Each volunteer is asked to taste 5 dark beers and to pick the one he/she prefers. Of the 5 dark beers, one is microbreweries and the other 4 are national favorites. What is the probability that none of the volunteers pick the microbrewery’s beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection.

Explanation / Answer

The probability of selection is 1/5 = 0.2 if there is no preference.

Hence, the probability of not picking it is 1 - 0.2 = 0.8.

Hence, if all 7 do not pick it, then

P = 0.8^7 = 0.2097152 [ANSWER]

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