In a recent U.S. Open tennis tournament, there were 879 challenges made by singles players, and 231 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender.

a. If 1 of the 879 challenges is randomly selected, what is the probability that it resulted in an overturned call?
b. If one of the overturned calls is randomly selected, what is the probability that the challenge was made by a woman?
c. If two different challenges are randomly selected without replacement, find the probability that they both resulted in an overturned call.
d. If 1 of the 879 challenges is randomly selected, find the probability that it was made by a man or was upheld with an overturned call.
e. If one of the challenges is randomly selected, find the probability that it was made by a man, given that the challenge was upheld with an overturned call.

Transcribed Image Text:

Challenges by Men Challenges by Women Challenge Upheld with Overturned Call 152 79 Challenge Rejected with No Change 412 236