Question

In an office, there are seven women and three men, if one person is selected, find the probability that person is a woman

Answer 1

This question is about Probability, and the probability is the number of outcomes of the event we try to find the probability over the number of outcomes in the sample space, that is, the number of all the cases we need to analyze.

In this case, we have that the sample space is the total number of persons:

1. Women: 7

2. Men: 3

Then, the number of outcomes in the sample space is women + men = 7 + 3 = 10.

We can say the event is a woman in that sample space, we have 7 women.

Therefore, the event that a person is a woman is:

`P(\text{woman)}=(7)/(10)`

In summary, the probability to find a person that is a woman in an office is:

`P(\text{woman)}=(7)/(10)`