I am taking a statistics class and my professor gave us an extra credit problem about the NCAA. He said we could "talk to anyone," so if you wouldn't mind helping me, I'd appreciate it so that I can understand the problem, get the answer right, and hopefully maintain my 4.0 GPA...
Sixteen teams will make the "Sweet 16" round of the NCAA Basketball Tournament. The teams are denoted at T1, T2,...T16, where T1, T2 play and T3, T4 play, and the winners go on to the "Elite 8," then the "Final 4," and then the National Championship. (This is a single elminination tournament). If you choose at random the winners of the Sweet 16 round and, from those winners choose at random the winners of the Elite 8 round, from those winners choose at random the winners of the Final 4 round and form those winners choose at random the winner of the National Championchip, what is the probablity that you would have picked the entire tournamente correctly? Interpret "choose at random the winner" to mean that you have a probabilty of 0.5 of choosing the winning team for each game played.
--I talked to my professor after class. He said that basically it's asking that with single elimination, what is the probability of choosing all the winners for all the matches correctly.
Thank you IMMENSLY!!!!
There are 15 games which you have to select the winner, each selection has
a 0.5 probability of success.