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12­4 Sample Spaces.notebook
Warm­up 4/17/12
December 14, 2012
12­4 Samples Spaces
IAN pg. 114
What is the probability of rolling a 3 with one die?
IAN pg. 115
Cheryl has a choice of pink, red, or yellow blouses with white or black slacks for an outfit. How many possible outfits are there?
What is the odds of rolling a 3 with one die?
There are two ways to solve this problem:
1. Drawing a Tree Diagram
2. Using the Counting Principle
The set of all possible outcomes of an experiment is called the sample space.
Drawing a Tree Diagram
Blouses
IAN pg. 115
Slacks
white
Outcomes
PW
PB
pink
black
white
IAN pg. 115
Using the Counting Principle
Number of = Total possible
x
Number of
Blouses
Pants
outfits
3 x 2 = 6
RB
red
RW
black
white
YW
YB
black
The are six choices or outcomes.
The collection of all possible outcomes is the sample space.
yellow
Draw a tree diagram to show the sample space
IAN pg. 114
1. Roll a number cube and toss a coin. What is the probability of getting (4, heads)?
1
2
3
4
5
6
Use the counting principle.
IAN pg. 114
1. 4 kinds of yogurt and 8 toppings
2. 6 shirts and 9 pairs of slacks
3. 3 types of sandwiches and 3 flavors of juice
Number of outcomes ______
P(4, heads) = 4. 4 types of bread and 6 sandwich spreads
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12­4 Sample Spaces.notebook
You Try:
IAN pg. 114
Find the number of possible outcomes using the counting principle.
1. At an ice cream shop, there are 31 flavors and 25 toppings. How many different ways are there to make a one­scoop ice cream sundae with one topping?
December 14, 2012
Draw a Tree Diagram to find the number of outcomes.
IAN pg. 114
1. The breakfast choices at Dion's Place has a choice of cereal, eggs, or French toast with a choice of milk or juice.
milk
Use the counting principle to find the total possible outcomes.
IAN pg. 114
1. A penny, a nickel, and a dime are tossed.
Class/Homework:
Workbook pg. 206
2. Two quarters are tossed. Then a four­sided die is rolled.
3. The lunch at Dion's Place has a choice of ham, turkey, or roast beef on rye or white bread with juice, milk, or tea.
a. How many difference lunches are possible?
b. What is the probability that the lunch special of the day is ham on rye with tea?
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