Understanding Theoretical and Experimental Probability

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