SOLUTION: Mr. Taylor filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.5 probability of guessing any one game correctly. What

Algebra ->  Statistics  -> Binomial-probability -> SOLUTION: Mr. Taylor filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.5 probability of guessing any one game correctly. What      Log On


   



Question 1134924: Mr. Taylor filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.5 probability of guessing any one game correctly.
What is the probability Mr. Taylor will pick all 32 of the first round games correctly?

What is the probability Mr. Taylor will pick exactly 6 games correctly in the first round?

What is the probability Mr. Taylor will pick exactly 18 games incorrectly in the first round?

Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
A) (32 choose 32) * (0.5)^32 * (0.5)^0 = 2.328 * 10^(-10)
B) (32 choose 6) * (0.5)^6 * (0.5)^26 = 0.0211%
C) (32 choose 14) * (0.5)^14 *(0.5)^18 = 10.98%