Mr. Taylor filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.54 probability of guessing any one game correctly. (a) What is the probability Mr. Taylor will pick all 32 of the first round games correctly

The probability is

Step-by-step explanation:

The probability of guessing correctly, P = 0.54

Probability of not guessing correctly, q = 1 – P  

q = 1 – 0.54 = 0.46

Number of trials, n = 32

Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.

Below is the calculation using binomial distribution.