AIM What is the Multiplication Counting Principle DO NOW Kimberly has three pair of pants one black one red and one tan She also has four shirts one pink one white one yellow and one green ID: 621661
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Monday, March 31, 2014AIM: What is the Multiplication Counting Principle?
DO NOW
:
Kimberly has three pair of pants: one black, one red, and one tan. She also has four shirts: one pink, one white, one yellow, and one green
.
Draw a tree diagram or list the sample space showing all possible outfits that she could wear, if an outfit consists of one pair of pants and one shirt.
How
many different outfits can Kimberly wear?Slide2
Kimberly has three pair of pants: one black, one red, and one tan. She also has four shirts: one pink, one white, one yellow, and one green.How
many different outfits can Kimberly wear?Slide3
What is a Sample Space?
A
sample space
is a set of all possible outcomes
for an activity or experiment.Example: Rolling a die Example: Choosing an outfit from a red blouse, a grey blouse, a black skirt, a pair of sandals, and a pair of sneakers Slide4
The Counting PrincipleWith the occurrence of more than one event or activity,
the counting principle can be used to quickly determine
how many possible outcomes exist
Example
: If ice cream sundaes come in 5 flavors with 4possible toppings, how many different sundaes can be made with one flavor of ice cream and one topping?
*HINT: Rather than list the entire sample space with
all possible combinations of ice cream and toppings,
we may simply multiply:
5 • 4 = 20 possible sundaesSlide5
Notes:Vocabulary: The Counting PrincipleCopy
The Fundamental Counting Principle
:
If there are a ways for one activity to occur, and b ways for a second activity to occur,then there are a • b ways for both to occur. Slide6
Notes: Example A movie theater sells 3 sizes of popcorn (small,
medium, and large) with 3 choices of toppings
(no butter, butter, extra butter). How many
possible ways can a bag of popcorn be
purchased?Slide7
Notes: Let’s
Try Another!
The ice cream shop offers 31 flavors. You order
a double-scoop cone. In how many different
ways can the clerk put the ice cream on the cone if you wanted two different flavors?Slide8
You Try!1) Heather has finally narrowed her clothing choices for the big party down to 3 skirts, 2 tops and 4 pair of shoes. How many different outfits could she form from these choices?
2) Burger Queen offers 4 types of burgers, 5 types of beverages, and 3 types of desserts. If a meal consists of 1 burger, one beverage and one dessert, how many possible meals can be chosen?