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Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagram below.


If a student is randomly selected from the group, what is the probability that they are majoring in both math and science? Round your answer to the nearest whole percent.

A10%
B17%
C33%
D40%

Verified Answer :

meerkat18

The sample space of the problem is 300 while the U' is equal to 100 as given. The given diagram also shows A and B separately so we can determine the part where the two coincides. The equation goes 
120 + 50 + x + 100 = 300x = 30
Hence the probability is 30/ 300 or 10%

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