The video tutorial explains the concept of theoretical probability, contrasting it with experimental probability. It provides examples to illustrate how theoretical probability is calculated and used, such as choosing a face card and analyzing a Wheel of Fortune scenario. The tutorial also demonstrates how experimental probability can differ from theoretical probability using a spinner experiment, emphasizing that more trials lead to closer alignment between the two probabilities.

What is the main difference between theoretical and experimental probability?

• Both are based on expected outcomes.

• Theoretical probability is based on actual results, while experimental probability is based on expected outcomes.

• Theoretical probability is based on expected outcomes, while experimental probability is based on actual results.

• Both are based on actual results.

How do you calculate theoretical probability?

• By dividing the number of possible outcomes by the number of favorable outcomes.

• By adding the number of favorable outcomes to the number of possible outcomes.

• By multiplying the number of favorable outcomes by the number of possible outcomes.

• By dividing the number of favorable outcomes by the number of possible outcomes.

In Example 1, what is the theoretical probability of drawing a face card?

• 1/7

• 2/7

• 3/7

• 4/7

Which cards are considered face cards in Example 1?

• Jack, Queen, and King

• Queen and King only

• Jack and King only

• Ace, Jack, and King

In Example 2, if the theoretical probability of landing on a bankrupt section is 1/12, how many total sections are on the wheel?

• 48

• 36

• 24

• 12

What method is used in Example 2 to find the total number of sections on the wheel?

• Ratio table

• Algebra

• Proportion

• Trial and error

In Example 3, what is the theoretical probability of spinning a red?

• 1/3

• 1/4

• 1/5

• 1/6

How many times did the spinner land on red in the experimental probability calculation in Example 3?

• 13 times

• 20 times

• 15 times

• 10 times

What happens to the experimental probability as the number of trials increases?

• It moves further from the theoretical probability.

• It remains the same.

• It becomes closer to the theoretical probability.

• It becomes less accurate.

Why might the experimental probability differ from the theoretical probability?

• Due to incorrect experimental setup.

• Because theoretical probability is always incorrect.

• Because of luck or chance.

• Due to errors in calculation.