tree diagrams and counting principle

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Fundamental Counting Principle?
Back
The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to perform both actions.
2.
FLASHCARD QUESTION
Front
How do you apply the Fundamental Counting Principle?
Back
You multiply the number of options in each category to find the total number of outcomes.
3.
FLASHCARD QUESTION
Front
What is a tree diagram?
Back
A tree diagram is a visual representation that shows all possible outcomes of an event using branches.
4.
FLASHCARD QUESTION
Front
If you have 4 ice cream flavors, 3 scoop options, 4 toppings, and 2 cone types, how many total combinations can you create?
Back
96 combinations (4 × 3 × 4 × 2 = 96).
5.
FLASHCARD QUESTION
Front
What is the sample space for flipping two coins?
Back
The sample space is {HH, HT, TH, TT}.
6.
FLASHCARD QUESTION
Front
How many outcomes are there if you choose 3 activities from 3 options?
Back
There are 27 outcomes (3 × 3 × 3 = 27).
7.
FLASHCARD QUESTION
Front
What is the sample space for rolling a die?
Back
The sample space is {1, 2, 3, 4, 5, 6}.
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