A professional bowler is practicing for a tournament. On any given bowl, he has a 60 percent probability of getting a strike . a) At the beginning of his practice, he likes to bowl until he fails to make a strike. How many times is he expected to bowl until he gets his first non-strike?
b) A perfect game consists of bowling 12 straight strikes. How likely is this bowler to bowl a perfect game?
c) In a game, which is 12 bowls, how likely is the bowler to get 9 or more strikes?
d) The bowler has pledged to give a certain amount to charity for every strike he gets during the tournament. He expects to bowl a total of 108 times over the course of the tournament. How much money should he give per strike if he wants to end up giving $1000 to charity?