## If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the probability o

Question

If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the probability of taking a calculus class and a statistics class is 0.07, what is the probability of a student taking a calculus class or a statistics class

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2 months 2021-10-21T00:41:28+00:00 1 Answer 0 views 0

93% probability of a student taking a calculus class or a statistics class

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 student takes a calculus class.

B is the probability that a student takes a statistics class.

We have that:

In which a is the probability that a student takes calculus but not statistics and is the probability that a student takes both these classes.

By the same logic, we have that:

The probability of taking a calculus class and a statistics class is 0.07

This means that

The probability of taking a statistics class is 0.90

This means that . So

The probability of a student taking a calculus class is 0.10

This means that

What is the probability of a student taking a calculus class or a statistics class

93% probability of a student taking a calculus class or a statistics class