SOLUTION: In a college graduating class of 100 students, 54 studied Statistics, 69 studied Finance and 35 studied both subjects. If one of these students is selected at random, find the prob

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Question 659278: In a college graduating class of 100 students, 54 studied Statistics, 69 studied Finance and 35 studied both subjects. If one of these students is selected at random, find the probability that
a. the student takes Statistics or Finance
b. the student does not take either of these subject
c. the student takes Finance but not Statistics

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Re TY
(54-35) = 19, Statistics only
(69-35) = 34, finance only
19 + 34 =53, Statistics only or finance only
100 - 19 - 35 - 34 = 12, those who take neither
100 students, 54 studied Statistics, 69 studied Finance and 35 studied both subjects

P(S OR F) = 53%2F100
P(neither) = 12%2F100+=+3%2F25
P(F but not S) = 34%2F100+=+17%2F50