Fundamental Counting Principle

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.

Front

If a customer can choose from 3 types of cones and 31 flavors of ice cream, how many different 1-scoop ice cream cones can they order?

Back

93 (3 types of cones × 31 flavors = 93 combinations).

Front

How many outcomes are possible when rolling a die and flipping a coin?

Back

12 (6 outcomes from the die × 2 outcomes from the coin = 12 outcomes).

Front

If Mr. Amburgey can choose from 4 motorcycle brands and 5 colors, how many outcomes are possible?

Back

20 (4 brands × 5 colors = 20 combinations).

Front

What is the total number of one-color hairstyles possible if there are 2 types of fades and 5 hair colors?

Back

10 (2 fades × 5 colors = 10 hairstyles).

Front

What is experimental probability?

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or observations.

Front

If Amelia rolled a '5' eight times out of 20 rolls, what is the experimental probability of rolling a '5'?

Back

2/5 (8 occurrences out of 20 total rolls).

Front

How do you calculate the total number of outcomes in a situation with multiple choices?

Back

Multiply the number of choices for each option together.

Front

What is an example of using the Fundamental Counting Principle in real life?

Back

Choosing an outfit: If you have 3 shirts and 4 pairs of pants, you can create 12 different outfits (3 × 4 = 12).

Front

If a restaurant offers 5 appetizers and 4 main courses, how many different meal combinations can a customer order?

Back

20 (5 appetizers × 4 main courses = 20 combinations).