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Probability Rules Quiz – Algebra 2 (10 Questions)

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

Algebra 2 Math Quizzes – Mathbot, the Math Made Easy robot coach, with free printable quizzes for Algebra 2

Looking for a probability rules quiz? Then this Algebra 2 quiz on Probability Rules and Conditional Events asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions check the main probability rules. Wrong options come from typical mistakes such as wrong denominators, so read each explanation.

Standards: S-CP.A.1, S-CP.A.2, S-CP.A.3, S-CP.A.4, S-CP.A.5, S-CP.B.6, S-CP.B.7 · Level: Grade 11 Algebra 2

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What this Probability Rules and Conditional Events quiz checks

  • An event is a subset of the sample space; A ∪ B means A or B, A ∩ B means A and B.
  • Addition rule: P(A ∪ B) = P(A) + P(B) − P(A ∩ B).
  • Conditional probability: P(A | B) = P(A ∩ B) ÷ P(B).
  • Independent events satisfy P(A ∩ B) = P(A) · P(B).
  • Two-way tables and tree diagrams organize joint and conditional probabilities.

The 10 questions of the quiz

  1. If P(A) = 0.7, what is P(A′)?
  2. Suppose P(A) = 0.6, P(B) = 0.3 and P(A ∩ B) = 0.15. What is P(A ∪ B)?
  3. Which formula gives P(A | B)?
  4. Two events are independent exactly when P(A ∩ B) equals
  5. In the Venn diagram, what is P(band or robotics)?
  6. In the table, what is P(Online | Coupon)?
  7. A drawer holds 4 black and 3 white socks. Two are pulled out one after the other without putting any back. P(both black) =
  8. Two unrelated events have chances of 0.3 and 0.7. What is the chance that both happen?
  9. The tree shows a late bus. P(rain and late) =
  10. Which pair of events is mutually exclusive when one die is rolled?

After the quiz

Missed a question? Reread the Probability Rules and Conditional Events lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Probability Rules and Conditional Events, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.