Exploring Theoretical and Experimental Probability

This video tutorial covers the concepts of theoretical and experimental probability. It explains the definitions and differences between the two types of probability, using examples such as a spinner experiment and dice rolling. The video also demonstrates how to use experimental probability to make predictions, illustrated through a survey example. Finally, viewers are given practice problems to reinforce their understanding.

What is theoretical probability based on?

• Results from previous experiments

• The actual outcome of an experiment

• The expected outcome without conducting an experiment

• The number of times an experiment is conducted

How is the denominator of experimental probability determined?

• By the number of possible outcomes

• By the total number of experiments conducted

• By the number of successful outcomes

• By the theoretical expectations

What does the experimental probability of spinning red simplify to in the spinner example?

• 1/3

• 2/5

• 24/60

• 1/2

Tags

CCSS.7.SP.C.6

What fraction represents the theoretical probability of spinning red on the spinner?

• 3/4

• 1/2

• 1/3

• 2/5

Tags

CCSS.7.SP.C.7B

In the context of experimental probability, what does the numerator represent?

• The total number of experiments conducted

• The number of successful outcomes

• The theoretical expectation

• The number of possible outcomes

What is the theoretical probability of rolling a 4 with a dice?

• 1/2

• 1/5

• 1/4

• 1/6

Tags

CCSS.7.SP.C.7A

In the dice rolling experiment, what is the simplified experimental probability of rolling a 2?

• 6/25

• 3/25

• 1/4

• 12/50

Tags

CCSS.7.SP.C.6

What is the experimental probability of rolling a 1 in the dice experiment?

• 3/25

• 12/50

• 6/50

• 1/6

How many students can be expected to choose hamburgers for lunch according to the survey prediction?

• 225

• 120

• 64

• 30

Tags

CCSS.7.SP.A.2

What method is used to solve for the expected number of students choosing hamburgers in the survey prediction example?

• Addition of fractions

• Division of outcomes

• Cross multiplication

• Subtraction of probabilities