Probability Theoretical

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

• 5/11

• 5/6

• 1/3

• 5

In a cup are the numbers 1 - 20. Find the theoretical probability of 
picking an even number. 

• 10/20

• 1/2

• 1/20

• 20/20

In a cup are the numbers 1 - 20. Find the theoretical probability of 
picking a number divisible by 5. 

• 4/20

• 1/5

• 5/20

• 1/4

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

• 1/8

• 7/8

• 1

• 7

Vy is shopping for a car. It comes in red, blue, or silver. She can also choose a 2-door and 4-door version along with a manual or automatic transmission. What is the theoretical probability that Vy will pick 4-door car, automatic transmission and it being red or blue?

Mathematical Equivalence

ON

What is Theoretical Probability?

• The ratio of favorable outcomes to the total number of possible outcomes

• The ratio of favorable outcomes to the total number of trials in an experiment

• In probability, a controlled, repeated process (such as repeatedly tossing a coin).

• A single possible result.

Find the theoretical probability of landing on orange or red if you spin the spinner.

• 0

• 3/8

• 2/8

• 1/4

An experiment consists of rolling a fair number cube. Find the theoretical probability of rolling a 3.

• 1/6

• 3/6

• 1

• 1/2

An experiment consists of rolling a fair number cube. Find the theoretical probability of rolling a number greater than 3.

• 4, 5, and 6

• 3/6

• 3

• 1/2

The spinner is spun. Determine if the game is fair. If it is not fair, who has the greater probability of winning?

You win if the number is greater than 5. Your friend wins if the number is 5 or less.

• Not fair; Friend has a greater probability of winning

• Not fair; You have a greater probability of winning

• The game is fair

• Not fair; Unable to tell who has a greater probability of winning