Understand Theoretical Probability

A bag has 4 green marbles, 3 red, 2 blue and 1 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/6

• 1/9

• 1/3

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

• 3/5

• 9/100

• 1/10

• 2/5

Theoretical P(2 or Higher)

• 3/4

• 2/3

• 4/6

• 5/6

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.

A spinner is divided into 4 equally sized selections. The sections are blue, green, red, and yellow. The results of 1000 spins are shown in the table.

What is the theoretical probability of spinning a green?

Mathematical Equivalence

ON

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

Theoretical Probability is?

• What Should happen

• What does happen

• What Will Happen

• What I want to Happen

​ (a)   Probability: what ​ (b)   in a probability experiment

• Theoretical

• should happen

• Hypothetical

• Law of

• will happen

Theoretical P(1 or 5)

• 4/5

• 1/2

• 2/6

• 1/3

What is the probability of spinning red?

• 0

• 5/12

• 1/2

• 3/4