Tree Diagrams and Fundamental Counting Principle 11.25.24

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•
Mathematics
•
7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a tree diagram?
Back
A tree diagram is a visual representation that shows all possible outcomes of an event, branching out from a starting point.
2.
FLASHCARD QUESTION
Front
What is the Fundamental Counting Principle?
Back
The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in m × n ways.
3.
FLASHCARD QUESTION
Front
How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
Back
80 outfits (5 x 8 x 2 = 80).
4.
FLASHCARD QUESTION
Front
If a die is rolled and a coin is flipped, how many total outcomes are there?
Back
12 outcomes (6 outcomes from the die x 2 outcomes from the coin = 12).
5.
FLASHCARD QUESTION
Front
How many different versions of a car model can be created with 4 trim levels, 5 colors, and 3 interiors?
Back
60 versions (4 x 5 x 3 = 60).
6.
FLASHCARD QUESTION
Front
How many different 1-topping pizzas can be made with 14 toppings and 3 sizes?
Back
42 different 1-topping pizzas (3 x 14 = 42).
7.
FLASHCARD QUESTION
Front
What is the purpose of a tree diagram in probability?
Back
To visualize and list all possible outcomes of an event.
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