Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same.What is the probability that one of the first three golfers that registered for the tournament will win?
A)0.100
B)0.001
C)0.300
D)0.299

Question

Quizplus · Accepted Answer

The probability of any one of the ten golfers winning is 1/10. The probability of the first three golfers registered winning is (3/10) * (1/9) * (1/8) = 0.00347. However, since we only need one of them to win, we can multiply this probability by 3 (for the three possible first place winners) and then subtract the probability that none of the first three golfers win (which is (7/10) * (6/9) * (5/8) = 0.4375) to get: 3 * 0.00347 - 0.4375 = 0.300. Therefore, the probability that one of the first three golfers registered will win is 0.300 or 30%.

Suppose That 10 Golfers Enter a Tournament and That Their