Alex Rodriquez follows Derek jeter in the lineup for the New York yankess baseball team. Alex has a .340 probability of getting a hit while Derek has a .380 probability. If both get a hit, the Yankees are sure to score a run.
A. What is the probability that the NY will score in an inning when both Alex and Derek come at bat?
B. What is the probabilitly that one man, either Alex or Derek will get a hit and be on base when Nick Swisher, the third hitter comes to bat?
C. What is the probability that neither Alex nor Derek will get a hit?
D. Given that Derek gets a hit, what is the probability that Alex will get a hit and bat a run?
Please show steps. Needs answers as well as how to work the problem.