There are 32 games played in the first round of the NCAAbasketball tournament. Joe enters a pool where you choose thewinner of each game. He knows nothing about basketball and pickshis teams randomly by placing both team’s names on slips of paper.Puts them in a hat and draws one out. The team he pulls out is theteam he chooses to win the game. Let X be the number of picks Joegets correct out of the 32 first-round games.
A. Find ?(? = 15).
B. Find ?(? ≤ 12)
C. Find ?(13 ≤ ? ≤ 18).
D. Would you be surprised if Joe got more than 22 out of 32correct using his method? Explain