Records at the uh library show that 12% of all uh students check out books on history, 28% of all uh students check out books on science, and 6% check out books on both history and science. what is the probability that a randomly selected uh student checks out a history book or a science book or both?

There is a 34% probability that a randomly selected UH student checks out a history book or a science book or both.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a UH student checks out books on history.

B is the probability that a UH students checks out books on science.

We have that:

In which a is the probability that a UH student checks a book on history but not on science and is the probability that a UH student checks books both on history and science.

By the same logic, we have that:

What is the probability that a randomly selected UH student checks out a history book or a science book or both?

We start finding these values from the intersection.

6% check out books on both history and science. So

28% of all UH students check out books on science. So

12% of all UH students check out books on history

So

There is a 34% probability that a randomly selected UH student checks out a history book or a science book or both.

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step-by-step explanation:

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