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 microbrewery's and the other 4 are national favorites. What is the probability that at least 5 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.
A) 0.0000
B) 0.0047
C) 0.0129
D) 0.0043

Question

Quizplus · Accepted Answer

The probability of at least 5 out of 7 volunteers picking the microbrewery's beer can be calculated using the binomial probability formula. The probability of picking the microbrewery's beer is 1/5, and not picking it is 4/5. The calculation involves finding the probability for exactly 5, exactly 6, and exactly 7 volunteers picking the microbrewery's beer and summing these probabilities. The correct answer is 0.0047, which accounts for the combined probability of these scenarios.

A Local Microbrewery Believes It Produces the Best Tasting Dark