**Odds **equal the ratio of the number of favorable outcomes to the number of non-favorable outcomes. Notice the difference between odds and probability, which is the ratio of the number of favorable outcomes to the total number of outcomes.

The are 65 fruit-flavored beans all together: 25 lemon, 30 grape and 10 pineapple. There are 35 beans that are not fruit-flavored. So the

**odds of picking a fruit-flavored jelly bean is 65/35 = 13/7.**

To find odds against picking a cinnamon or mint bean, consider which outcomes would be "favorable". You DON'T want to pick either a cinnamon or a mint, so anything else would be favorable. All other jelly beans are fruit-flavored, so the odds against picking either cinnamon or a mint are the same as the odds of picking a fruit-flavored bean: 13/7.

**Odds against picking a cinnamon or mint bean is 13/7.**

**Theoretical probability of picking a fruit-flavored bean is the number of fruit-flavored beans divided by the total number of beans: 65/100 = 65%.**

Theoretical probability of not picking a cinnamon bean is the number of all other beans (100 - 20 = 80) divided by the total number of beans:

80/100 = 80%.

**The probability of not picking a cinnamon bean is 80%.**