Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same.Six of the entrants are female and two of those are older than 40 years old.Three of the men are older than 40 years old.What is the probability that the winner will be either female or older than 40 years old?
A)0.000
B)1.100
C)0.198
D)0.200
E)0.900

Question

Quizplus · Accepted Answer

There are 10 golfers in total. The probability of the winner being female is 6/10. The probability of the winner being older than 40 is (2 females + 3 males)/10 = 5/10. Using the principle of inclusion-exclusion, the probability of the winner being either female or older than 40 is (6/10) + (5/10) - (2/10) = 9/10 = 0.900.

Suppose That 10 Golfers Enter a Tournament and That Their