The nal contestants for this year’s American Idol nal are Joel Peppers of Flagsh

Question

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

Male and female even chances

so male = 50%

female = 50%

60% chance that alaba,a resident will take the trophy

Joel = 40%

so Serene will have 60-40 = 20% chance

now female has 50% chance of winning

so snookers % = 50 - 20 = 30%

so there is a 30% chance that Ms Snookers will win.

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