# Probability of Selecting a Person from a Group or Committee

> Probability > Probability of selecting a person from a group or committee

Watch the video or read the steps below:

## Overview:

Committee problems are common in probability.

Problems about picking people from groups or committees are extremely common types of questions in probability and statistics. This article shows you the odds of picking a certain person FROM a committee. If you want to figure out possibilities for choosing people FOR committees, you’ll want to check out our articles on figuring out combinations, like this one: 5 Choose 3.

## Steps:

Sample problem: At a school board meeting there are 9 parents and 5 teachers. Two teachers and 5 parents are female. If a person at the school board meeting is selected at random, find the probability that the person is a parent or a female.

Step 1: Make a chart of the information. In the sample question, we’re told that we have 5 female parents, 2 female teachers, 9 total parents and 5 total teachers.

Step 2: Fill in the blank column(s). For example, we know that if we have 9 total parents and 5 are female, then 4 must be male.

Step 3: Add a second total to your chart to add up the columns.

Step 4: Add up the probabilities. In our case we were asked to find out the probability of the person being a female or a parent. We can see from our chart that the probability of being a parent is 9/14 and the probability of being a female is 7/14.

9/14 + 7/14 = 16/14

Step 5:Subtract the probability of finding both at the same time. In our case, we subtract female parents.

16/14 – 5/14 = 11/14

You’re done with the Probability of selecting a person from a group or committee!

Check out our YouTube channel for more stats help and tips!

------------------------------------------------------------------------------

Need help with a homework or test question? With Chegg Study, you can get step-by-step solutions to your questions from an expert in the field. Your first 30 minutes with a Chegg tutor is free!

Statistical concepts explained visually - Includes many concepts such as sample size, hypothesis tests, or logistic regression, explained by Stephanie Glen, founder of StatisticsHowTo.