SOLUTION: The following table gives a two-way classification of all basketball players at a state university who began their college careers between 2004 and 2008, based on gender and whethe

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Question 1083739: The following table gives a two-way classification of all basketball players at a state university who began their college careers between 2004 and 2008, based on gender and whether or not they graduated.
Male Graduated-126
Male Not Graduated-55
Female Graduated-133
Female Not Graduated-32
If one of these players is selected at random, find the following probability.
Round your answer to three decimal places.
--> So I did 165/346 + 87/346 - (.119) = .517 and that's incorrect

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

total: 346 players
male=126%2B55=181
female=133%2B32=165
total graduate=126%2B133=259
total not graduate=55%2B32=87
1.
P%28female_+and_+graduated%29=+133%2F346=0.38439
2.
P%28male_+and+_did+_not_+graduate%29=+55%2F346=0.1589595
3.
P%28graduated_+and_+did_+not_+graduate%29=+0, because these events are mutually exclusive and you could not have someone that is both “a graduate” and “a non graduate”.