Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Looking for a statistical experiments and simulation quiz? Then this Algebra 2 quiz on Experiments, Simulation and Smart Decisions asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions check simulation, experiments, bias and expected value. Wrong options show common slips, so read every explanation.
Standards: S-IC.A.2, S-IC.B.5, S-IC.B.6, S-MD.B.6, S-MD.B.7 · Level: Grade 11 Algebra 2

What this Experiments, Simulation and Smart Decisions quiz checks
- A result that appears in under about 5% of simulations is unlikely under the model.
- Random assignment in an experiment lets differences be attributed to the treatment.
- Re-randomizing group labels shows how large differences are by chance alone.
- Reports should be judged by how data were collected, sample size and whether the claim exceeds the data.
- Expected value = sum of (payoff × probability); a fair game has expected net value 0.
The 10 questions of the quiz
- What does a simulation estimate?
- In 400 simulated trials an event occurred 60 times. The estimated probability is
- The histogram shows heads in 20 fair flips. About how often are 14 or more heads seen?
- Why is random assignment used in an experiment?
- A researcher wants to claim that a treatment caused a change. Which design allows it?
- A result happened in 3 of 100 re-randomized simulations. At a 5% cutoff, the result is
- The histogram shows re-randomized differences. A difference of 4 or more occurred in how many runs?
- A game costs $4 and pays $12 with probability 1/4, else $0. The expected net value is
- Which poll is most likely biased?
- Plan A pays $500 for sure. Plan B pays $900 with probability 0.5. Which has the greater expected value?
After the quiz
Missed a question? Reread the Experiments, Simulation and Smart Decisions lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Experiments, Simulation and Smart Decisions, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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