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Sample Space
Date: 03/24/11
By: Mr. Menjivar
Warm-Up
You roll a standard number cube once. Find the
each probability in fraction, decimal, and
percent.
1. P(4)
2.
P(multiple of 2)
3.
P(8)
Standard

SDAP 3.1: Represent all possible outcomes
for compound events in an organized way and
expressed the theoretical probability of each
outcome.
Objectives


To make and use sample spaces
To use the counting principle
Vocabulary

Sample Space → collection of all possible
outcomes in an experiment
Example 1 (Using a Table)
Make table to find the sample space for rolling
two number cubes colored red and blue.
Write the outcomes as ordered pairs.
Example 1
Find the probability of at least one 3.
Example 2 (Using a Table)
Give the sample space for tossing two coins.
Find the probability of getting two heads
Example 3 (Using a Tree Diagram)
Suppose you are going to travel on a river. You
have two choices of boats, which are a kayak
or a rowboat. You can go upstream on three
smaller streams, to the north, northwest, and
northeast.
What is the sample space for your journey?
Example 3 (Using a Tree Diagram)
What is the probability of selecting a kayak and
going directly north?
The Counting Principle
Suppose there are m ways of making one choice
and n ways of making a second choice. Then
there are m x n ways to make the first choice
followed by the second choice.
Example
If you can choose a shirt in 5 sizes and 7 colors,
then you can choose among 5 x 7, or 35,
shirts.
Example 4 (Counting Principle)
The Deli Counter Sandwiches
How many different
sandwiches can you
French Breads Deli Meats
order when you choose Rye
Roast Beef
one bread and one meat
Wheat
Turkey
from the menu?
White
Ham
Pita
Pastrami
Wrap
Salami
Liverwurst
Independent Practice

Pg. 459 [9-14 all] and [16-19]

Challenge: Pg. 460 [20, 21, 24, 25, 26, 27]

Challenge: Pg. 458 [1-7 all]
Homework


Pg. 361 [1-8 all]
Pg. 362 [1-10 all]
Exit Slip
Write each fraction as a decimal and as a
percent.
31
1.
50
19
2.
20
11
3.
40
11
4.
10