9-3 Fundamental Counting Principle
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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16 questions
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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 do both.
2.
FLASHCARD QUESTION
Front
How many different outcomes are there for a car license plate with 3 letters and 3 digits, where letters can be reused and digits can be reused?
Back
17,576,000 outcomes, calculated as 26 × 26 × 26 × 10 × 10 × 10.
3.
FLASHCARD QUESTION
Front
What is the probability of flipping a heads and rolling a 3 with a coin and a die?
Back
The probability is 1/12, calculated as (1/2 for heads) × (1/6 for rolling a 3).
4.
FLASHCARD QUESTION
Front
How many outcomes are there when rolling 2 dice and flipping 3 coins?
Back
216 outcomes, calculated as 6 × 6 × 2 × 2 × 2.
5.
FLASHCARD QUESTION
Front
What is the probability of rolling an EVEN number on the first die, an ODD number on the second die, and all HEADS for three coins?
Back
6.
FLASHCARD QUESTION
Front
If I flip 4 different 2-sided coins, how many different outcomes are there?
Back
16 outcomes, calculated as 2 × 2 × 2 × 2.
7.
FLASHCARD QUESTION
Front
What is the total number of outcomes when choosing a car brand (3 options), color (5 options), and transmission (2 options)?
Back
30 outcomes, calculated as 3 × 5 × 2.
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