Question

At a certain company, the mentoring program and the community outreach program meet at the same time, so it is impossible for an employee to do both. If the probability that an employee participates in the mentoring program is 0.57, and the probability that an employee participates in the outreach program is 0.4, what is the probability that an employee does the mentoring program or the community outreach program? ​

Answer 1

The probability that an employee does the mentoring program or the community outreach program is 0.97.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The probability that an employee participates in the mentoring program is 0.57, and the probability that an employee participates in the outreach program is 0.4.

Let's suppose A is the event that an employee attends mentoring program and B is the community outreach program.

P(∩B) = 0

P(A) = 0.57

P(B) = 0.4

P(A∪B) = P(A) + P(B) - P(∩B)

P(A∪B)  = 0.57 + 0.4 - 0

P(A∪B) = 0.97

Thus, the probability that an employee does the mentoring program or the community outreach program is 0.97.

Learn more about the probability here:

brainly.com/question/11234923

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