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

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

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