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At a certain high school, 40 % 40\% of the students took Physics, while 20 % 20\% took Chemistry, and 5 % 5\% of students took both.

If a student is selected at random, find the probability that he or she is in Physics or Chemistry, but not both.

Data inadequate. 55 % 55\% 60 % 60\% 65 % 65\% 50 % 50\%

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2 solutions

Colin Carmody
Nov 9, 2015

At a certain high school, 40% of the students took Physics, while 20% took Chemistry, and 5% of students took both.

So here we know that if a total of 40 percent of students took Physics, and 5 percent took Physics and chemistry, then 40-5 or 35 Percent of students took only physics.

Do the same with the chemistry group. (20-5) Percent.

Add the two together and you get 50 percent took, physics, chemistry, or both. So you have a 50/100 or a 50 percent Chance or selecting someone who is in Physics or Chemistry, but not both.

Very good solution!The part of eliminating the students who took both was a very good approach. I couldn't get it right for that part.Entered 60%(damn!).Upvoted your solution.

Anibrata Bhattacharya - 5 years, 7 months ago

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I have to admit, it can be quite confusing, but most of the time it is included in the whole part of the category.

Colin Carmody - 5 years, 7 months ago

Can also be done by venn diagram

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