Jim follows Barry in the lineup for the Cubs baseball team. Jim has a .340 probability of getting a hit while Barry has a .380 probability. if both get a hit, the Cubs are sure to score a run.
A. What is the probability that the Cubs will score in an inning when both Jim and Barry come at bat?
B. What is the probability that one man, either Jim or Barry will get a hit and be on base when the third hitter, Shane comes to bat?
C. What is the probability that neither Jim or Barry will get a hit?
D. Given that Barry gets a hit, what is the probability that Jim will get a hit and score a run? (Hint what is the conditional probability that Jim will hit given that Barry has already hit?)