# Odds and Probability

Identifying the odds of something happening is a little different that calculating the probability. It is written as a ratio; however, it is not written as a fraction.

## Odds

The odds in favor of an event is the ratio of the number of ways the outcome can occur to the number of ways the outcome cannot occur.

# of ways the event CAN occur : # of ways the event CANNOT occur.

This is actually a lot easier than probability. So, let's take a look at an example.

## Example 1 - Odds Odds and probability is pretty easy! Just remember to use a colon instead of a fraction. Also, remember that you are comparing the number of ways the outcome can occur to the number of ways the outcome cannot occur (not the total outcomes).

## Practice Problem

You've entered your name into a drawing to win one of 25 prizes. There are 12 coupons for a free movie, 6, \$25 coupons for a restaurant, 6 coupons for free admission into an amusement park, and 1 gift card for \$100.

What are the odds of you winning:

• restaurant coupons or amusement park coupons
• not a free movie

## Solutions  