11 15 24 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 you roll a die (6 sides) and flip a coin (2 sides), how many possible outcomes are there?

Back

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

Front

What type of probability is determined by conducting an experiment?

Back

Empirical probability.

Front

How many different outcomes are there for 3 true/false questions?

Back

8 outcomes (2^3 = 8).

Front

In a scenario where you can choose from 3 sizes of pizza and 14 toppings, how many different 1-topping pizzas can you create?

Back

42 different 1-topping pizzas (3 sizes × 14 toppings = 42).

Front

What is classical probability?

Back

Classical probability is the likelihood of an event occurring based on the assumption that all outcomes are equally likely.

Front

If a bicycle license plate consists of 2 letters followed by 1 digit, how many different plates can be formed?

Back

6760 different plates (26 letters × 26 letters × 10 digits = 6760).

Front

What is the formula for calculating the number of outcomes when rolling multiple dice?

Back

The formula is: Number of outcomes = (number of sides on die)^number of dice.

Front

What is the difference between empirical and classical probability?

Back

Empirical probability is based on observed data, while classical probability is based on theoretical outcomes.

Front

How do you calculate the total number of outcomes for a series of independent events?

Back

Multiply the number of outcomes for each event together.