Bill the baseball pitcher gives up a hit to 15% of batters. Joe the batter gets a hit against 30% of hitters. What are the odds Joe gets a hit against Bill?

Question

Event A has a 15% chance of happening. Event B has a 30% chance of happening. In this case, If A happens, then B happens, if A doesn't happen B doesn't happen. 

Answer 1

Basically, to find the probability of a compound event, you need to multiply the probability of the two events.  (They have to happen together, so we don't consider the option of 1 occurring without the other.)

 

P(A and B) = 0.15 * 0.30 = 0.045.

 

There is a 4.5% chance that Joe gets a hit from Bill.