MA.7.DP.2.4 · Data Analysis and Probability

Experimental Versus Theoretical Probability: Sample FAST Questions

Students use a simulation of a simple experiment to find experimental probabilities and compare them to the theoretical probability. They learn that a short run can land far from the theoretical value, and that more trials pull the experimental result toward it.

How the FAST tests this benchmark

On the FAST, students read a table of simulation results, compute the experimental probability in the equation editor, and answer multiple choice items comparing it to the theoretical value. Items also check whether students expect more trials to narrow the gap.

Skills students need

Find an experimental probability from simulation results
Compare an experimental probability to the theoretical probability
Explain why more trials narrow the gap between the two

Try 6 real MA.7.DP.2.4 questions

These come straight from Algebro's 7th grade question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyEquation Editor

Color	Frequency
Red	8
Blue	16
Green	12
Yellow	4

Carla spun a four-color spinner

40

times and recorded the results in the table. What is the experimental probability of landing on BLUE, written as a fraction?

Enter the number only. Do not include units like $, %, or ft²

Showcase extra: the real practice and quiz players do not have this button.

Question 2EasyEquation Editor

Color	Frequency
Red	24
Blue	18
Green	18

Nadia spun a three-color spinner

60

times and recorded the results in the table. What is the experimental probability of landing on BLUE, as a fraction?

Enter the number only. Do not include units like $, %, or ft²

Showcase extra: the real practice and quiz players do not have this button.

Question 3MediumMatching

An experiment will be repeated

200

times. Match each theoretical probability to its EXPECTED count over

200

trials.

Pick one match in each row, then check.

	A. $40$	B. $50$	C. $60$	D. $100$
$P = \frac{1}{4}$
$P = \frac{1}{5}$
$P = \frac{3}{10}$
$P = \frac{1}{2}$

Showcase extra: the real practice and quiz players do not have this button.

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More 7th grade data and probability benchmarks

MA.7.DP.1.1

Choosing an Appropriate Measure of Center or Variation

MA.7.DP.1.2

Comparing Two Data Sets

MA.7.DP.1.3

Making Predictions from a Random Sample