Question

Asked Mar 6, 2019

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At a party, there are 32 men, 16 of whom are without dates, and 28 women, 12 of whom are without dates. Find the probability of picking someone at random and getting a person who is a women or without a date?

Step 1

**Addition rule of probability:**

Addition rule of probability indicates the happening either of the events that are involved.

Consider two events *A* and *B*, the happening of either of the events *A* or *B* is obtained as follows:

Step 2

**Obtain the probability of getting a person who is a women or without date.**

Denote the event “a randomly selected person is women” as *A.*

Denote the event “a randomly selected person is without date” as *B.*

It is given that the total number of women is *n*(*A*) = 28.

The total number of persons without date is *n*(*B*) = 16 + 12 = 28.

The number of...

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