# At a certain company, the mentoring program and the community outreach program meet at the same...

## 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 0.51, and the probability that an employee participates in the outreach program is 0.21,

what is the probability that an employee does the mentoring program or the community outreach program?

## Mutually Exclusive Events:

In probability, sometimes we are given multiple events which have some intersection, that is, more than one event might be happening at the same time. When the events have no intersection, they are said to be mutually exclusive events.

In these types of questions, to find the answer for "A or B", we usually add the probabilities of A and B, and then subtract the probability that the two given events happen at the same time. However, we are already given that the events mentoring and community outreach are mutually exclusive events, that is they do not happen at the same time, we only need to sum the probabilities.

{eq}0.51 + 0.21 = 0.72 {/eq}