Study Guide
Probability and Odds

The probability of an event is a ratio that tells how likely it is that the event will take place.


Example 1: Mr. Babcock picks 5 of his 25 students in his algebra class at random for a special project. What is the probabilty of being picked?

.

The probability of being picked is  
5
25
  or  
1
5

The probability of any event has a value from 0 to 1. If the probability of an event is 0, it is impossible for the event to occur. An event that is certain to occur has a probabilty of 1. This can be expressed as 0 ≤ P(event) ≤ 1.

 

The oddds of an event occurring is the ratio of the number of ways an event can occur (successes) ti the number of ways the event cannot occur (failures).

Example 2: Find the odds that a member of Mr. Babcock's class will be picked for the special project.

 

Solve each problem.

1. There are 2 colas, 1 ginger ale, 5 cherry sodas, and 4 rootbeers in the cooler. What is the probabbility of puttling out a cola?

 

 

1
6

2. It will rain 8 times in November and snow 3 times. The other days it will be sunny. What is the probabilty of a sunny day? the odds of a sunny day?

 

19
30

The odds are 19:11

 

Use the following information to answer questions #3-6.

At a carnival, there is a bowl of money. It contains 50 quarters, 75 dimes, 100 nickels, and 125 pennies.

3. If one coin is chosen, what is the probabilty that a quarter will be chosen?

1
7

4. What would be the odds of choosing a quarter if all of the dimes were removed first?

 

The odds are 2:9

5. What are the odds that a dime will not be chosen?

 

The odds are 11:3

6. What are the odds of choosing a penny?

 

The odds are 5:9