Each year, 64 college basketball teams compete in the N.C.A.A tournament. Sandbo

Question

Each year, 64 college basketball teams compete in the N.C.A.A tournament. Sandbox.com recently offered a prize of 10 million to anyone who could correctly pick the winner in each of the tournament games. The president of that company also promised that, in addition to the cash prize, he would eat a bucket of worms. There are a total of 64 games in the tournament. a. If someone makes random guesses for a game, what is the probability of picking the winner? b. In an article, the New York Times wrote that "Even an expert who can pick games at a 70% clip has a 1 in chance of getting all the games right." Fill in the blank.

Explanation / Answer

a) here probabilty to guess it right in on egame =1/2

hence probabilty to correctly judge winner in each game =(1/2)64 = 5.421*10-20

b)probabilty to correctly judge winner in each game by expert =(0.7)64 =1.219*10-10

hence has 1 in 8198330821 chance of getting all the games right

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