Homework Help: geometry

Posted by Audrey on Monday, September 13, 2010 at 9:25pm.

At rosemead high school, 94 students take biology, 86 take ethnic studies, and 95 take geometry. thirty-seven students take both biology and geometry, 43 take geometry and ethnic studies, and 42 take ethnic studies and biology. twenty eight students take all three subjects. What is the probability that a student chosen at random will be taking all three of the courses?

geometry - Reiny, Monday, September 13, 2010 at 9:51pm
Number(AorBorC)= Number(A) + Number(B) + Number(C) - Number(AandB) - Number(AandC) - Number (BandC) + Number(AandBandC)
= 94 + 86 + 95 - 37 - 43 - 42 + 8
= 161

Prob of (as stated) = 8/161

You could also find the total by using Venn diagrams

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