Theoretical Probability Expected Events

Which of the following describes theoretical probability?

• Perform an experiment to determine the probability.

• Perform a simulation and count the number of possible outcomes.

• Use trials to count the number of desired outcomes.

• Determine the expected probability of an event.

Emma is playing a spinning game using the spinner shown. She gets one spin and needs green to win. What's probability that she will NOT win?

• 0.25

• 0.75

• 0.70

• 0.40

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

What is the theoretical probability of landing on red?

• 43%

• 33.3%

• 40%

• 36%

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

A quiz game has three questions. Each correct answer scores 5 points, and each wrong answer scores 0 points. If a player guesses all answers, assuming a 50% chance of getting each question right, what is the expected score?

• 7.5

• 10

• 12.5

• 15

• $2.50

• $5

• -$2.50

• $0

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

• -$0.50

• $0

• $0.50

• $1

Based on this experiment, what is the probability that a girl in athletics is chosen?