Exploring Experimental and Theoretical Probability

The video tutorial covers theoretical and experimental probability, explaining the differences between them. It provides examples using a spinner and dice to illustrate how experimental probability is calculated and compared to theoretical probability. The tutorial also demonstrates how to use experimental data to make predictions, such as estimating the number of students choosing a particular lunch option. The video concludes with practice problems to reinforce the concepts learned.

What does theoretical probability represent?

• Outcomes based on actual experiments

• Predictions for future experiments

• What should occur in an experiment based on all possible outcomes

• Results from previous experiments only

How is experimental probability determined?

• By conducting an experiment and recording the outcomes

• Predicting outcomes based on past data

• Calculating the possible outcomes without conducting any experiment

• Using theoretical probability formulas

In the spinner experiment, what was the experimental probability of spinning red?

• 2/5

• 1/2

• 1/3

• 24/60

How do you calculate experimental probability?

• Number of experiments divided by total outcomes

• Number of favorable outcomes divided by total number of trials

• Total number of outcomes divided by number of favorable outcomes

• Number of trials divided by number of experiments

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

• 1/2

• 1/5

• 1/6

• 1/4

After rolling a dice 50 times, what was the experimental probability of rolling a 2?

• 3/25

• 1/6

• 6/25

• 12/50

Based on the survey, how many students out of 1200 can be expected to choose hamburgers for lunch?

• 225

• 175

• 200

• 250

What is the purpose of setting up a proportion in making predictions with experimental data?

• To calculate the total number of outcomes

• To determine the number of trials needed for an experiment

• To find the theoretical probability

• To predict outcomes for a larger population based on sample data

What is the theoretical probability of spinning green on the final spinner?

• 1/2

• 1/5

• 1/4

• 1/3

What was the experimental probability of spinning green in the final example?

• 10/100

• 1/10

• 17/25

• 1/4