03­21­14 Tree Diagrams and BCP.notebook
March 21, 2014
3-21-14
Aim: SWBAT list possible outcomes using a tree diagram and the
Basic Counting Principle.
Do Now: How many outfits you can make out of 3 pairs of pants, 4
shirts, and 2 pairs of shoes.
HW: WS
Test Tuesday
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03­21­14 Tree Diagrams and BCP.notebook
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Sample Space: a list of all the possible outcomes in a given
situation.
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03­21­14 Tree Diagrams and BCP.notebook
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Tree Diagram
One way to find the number of possible outcomes.
• Is an organized way to list outcomes
• Shows specific combinations and detail about the
outcomes.
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03­21­14 Tree Diagrams and BCP.notebook
March 21, 2014
How many outfits you can make out of 3 pairs of pants, 4
shirts, and 2 pairs of shoes?
Let's say you choose
• pants to be called A, B, and C
• shirts to be called D, E, F, and G
• shoes to be called H and I
H
I
D
E
A
F
G
H
I
H
I
H
I
H
I
D
E
B
F
G
H
I
H
I
H
I
H
I
D
E
C
F
G
H
H
I
H
I
I
Now you count up all the greens (the branches at the
end) and you will have your answer of ... 24
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03­21­14 Tree Diagrams and BCP.notebook
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The Fundamental Counting Principle: The principle that
states that all possible outcomes in a sample space can be
found by multiplying the number of ways each event can
occur.
• Finds the answer quickly
• Does not shows specific combinations and detail about
the outcomes.
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How many outfits you can make out of 3 pairs of pants, 4
shirts, and 2 pairs of shoes?
All you have to do is multiply!!!
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