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2. When the 2015 FIFA Women’s World Cup reaches the seminals, four teams remain:

ID: 663963 • Letter: 2

Question

2. When the 2015 FIFA Women’s World Cup reaches the seminals, four teams remain: Germany, Japan, Canada, and the USA. Oddsmakers in Las Vegas are betting that the probability of the Germans advancing and becoming world champions is .35; for Japan, .3, and for Canada, .05. If these experts are correct, what’s the probability that Team USA will win the World Cup?

3. The nal contestants for this year’s American Idol nal are Joel Peppers of Flagship, Alabama; Butch Masterpiece of West Texas; Kayleen Snookers from Sacramento, California; and Serena Serenade from Mobile, Alabama. A ten-milliondollar computer has been analyzing the contest for some weeks now, and has concluded: • The chances of a male winner and a female winner this year are exactly even. • There’s a 60% chance of an Alabaman being declared the best vocalist this year. • Joel Peppers has a 40% chance of taking home the trophy.
In order for the computer to be consistent, what is the probability that Ms. Snookers wins the nals?

Explanation / Answer

2.

It will be 1-(.35 + .3+ .05) = 0.3

3.

chance of male female win 50% and 50%

chance of alabama win = 60%

joel peppers win = 40%

serena win chances = 60-40 = 20%

now since female has to win then

chances of ms snookers wining = 50-20 = 30%

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