Using Experimental Probability to Predict Expected Counts
This Grade 7 math skill from Reveal Math, Accelerated teaches students to use experimental probability data to predict how many times an event is likely to occur in a given number of trials. Students multiply the experimental probability of an event by the total number of trials to estimate expected counts.
Key Concepts
You can use the experimental probability of an event to predict the expected number of times the event will occur in a different number of trials.
$$\text{Expected Count} = \text{Experimental Probability} \times \text{Total Future Trials}$$.
Common Questions
What is experimental probability?
Experimental probability is the ratio of the number of times an event actually occurred to the total number of trials performed in an experiment.
How do you use experimental probability to predict expected counts?
Multiply the experimental probability by the number of future trials. For example, if P(event) = 0.4 and you plan 50 trials, expect about 0.4 × 50 = 20 occurrences.
How is experimental probability different from theoretical probability?
Theoretical probability is based on equally likely outcomes, while experimental probability is based on actual observed results and may differ from theoretical values.
Why might your prediction not exactly match the actual result?
Predictions based on experimental probability are estimates. Actual outcomes vary due to randomness, and predictions improve with more trial data.
Where is this skill covered in Reveal Math Accelerated?
Using experimental probability to predict expected counts is a Grade 7 topic in the Reveal Math, Accelerated textbook, Unit 4: Sampling and Statistics.