Two Wharton professors analyzed 1,613,234 putts by golfers on the Professions Golfers Associations (PGA) Tour and found that 983,764 of the putts were made and 629,470 of the putts were missed. Further analysis showed that for putts that were made 64.0% of the time the player was attempting to make a par putt and 18.8% of the time the player was attempting to a birdie putt. And. for putts that were missed, 20.3% of the time the player was attempting to make a par putt and 73.4% of the time the player was attempting to make a a birdie putt.

a.) What is the probability that a PGA Tour player makes a putt?

b.) Suppose that a PGA tour has a putt for par. What is the probability that player will make the putt?

c.) Suppose that a PGA Tour player has a putt for birdie.What is probability that the player will make the putt?

d.) Comment of the differences in the probabilities computed in parts b.) and c.)