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Crate Brewery is trying to promote its beer. Previous results indicate that three-fourths of the people...

Crate Brewery is trying to promote its beer. Previous results indicate that three-fourths of the people who say they prefer other brands of beer will end up rating Crate's beer highest during a blind taste test. If Crate Brewery conducts a live, blind taste test on TV with a panel of four judges who all claim to prefer other beers over Crate's, what is the probability that all four will choose Crate as the best tasting beer?

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