If a fastball is in the strike zone, Mike will swing and get a hit 35% of the time. If a curveball is in the strike zone, he will swing and get a hit 15% of the time. If a changeup is in the strike zone, he will swing and get a hit 18% of the time. Randomly select one pitch from this pitcher.

a. What is the probability that Mike swings at a pitch in the strike zone and gets a hit?

b. Given that Mike got a hit from a pitch in the strike zone, what is the probability that the pitch was a fastball?