SOLUTION: A total of 500 Washburn students were surveyed about whether they lived on campus or not, and, what classes they were taking (among math, history, English). The results were as f

Question 1139247: A total of 500 Washburn students were surveyed about whether they lived on campus or not, and, what classes they were taking (among math, history, English). The results were as follows; answer using un-simplified fractions:
Math History English
Live on campus 130 112 88
Do not live on campus 77 43 50

(A) A student is selected from this group; what is the probability that they do not live on campus, and are taking a history course?

(B) A student is selected from this group; what is the probability that they do not live on campus, or, are taking a math course?

(C) A student is selected from this group; what is the probability that they live on campus, given that they are taking a math course?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
-------------Math History English total
Live on campus 130 112---- 88-----330
Not on campus --77 43 -----50 ----170
Total----------207--155---138-----500
a. Not on campus AND taking history is 43/500 or 8.6%
b. Not on campus (170) and take math (207) -both (double counting) 77=300/500 or 60%
c. Taking math (207) and live on campus (130) so that probability is 130/207 or 62.8%
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