1. Sample Spaces and Count Outcomes
Chp. 8 Sec 1-B and 1-C pg

2. Sample Spaces
The set of all the possible outcomes in a probability experiment is called the SAMPLE SPACE.
You can use a TREE DIAGRAM to represent a sample space.
Let’s say we want to find all the combinations of coke and sprite being sold in either a small cup or large cup.
Sample Space
Beverage
Coke
Sprite
Size
Small
Large
Coke, Small
Coke, Large
Sprite, Small
Sprite, Large

3. Sample Spaces
Put 2 green cubes in a cup and then 2 blue cubes and 1 red cube in a cup. Draw one cube from cup 1 and 1 cube from cup 2. What is the sample space?
Cup 1
Green
Cup 2
Blue
Red
Green, Blue
Green Blue
Green, Red
Green, Blue
Green Blue
Green, Red

4. Count Outcomes Fundamental Counting Principle
If event M has m possible outcomes and event N has n possible outcomes, then event M followed by event N has m x n possible outcomes.
Find the total number of outcomes when you choose one of 5 math teachers and then 1 of 3 science teachers.
So you have 5 math teachers x 3 science teachers = 15 outcomes

5. Count Outcomes
You have 5 different candy bars, 4 different bags of chips and 6 different types of drinks. How many possible combinations can you have?
5 (candy bars) x 4 (chips) x 6 (drinks) = 120 combinations
How many combinations of just 1 of the types of candy bars with the other chips and drinks?
1 (candy bar) x 4 (chips) x 6 (drinks) = 24 combinations