Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a probability and conditional probability quiz? Then this Geometry quiz on Probability Rules, Conditioning and Fair Decisions asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on complements, the addition rule, independence, conditional probability, counting and fairness. Each explanation points out the slip behind the tempting wrong choices.
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, S-CP.B.8, S-CP.B.9, S-MD.B.6, S-MD.B.7 · Level: Grade 10 Geometry
What this Probability Rules, Conditioning and Fair Decisions quiz checks
- P(A or B) = P(A) + P(B) − P(A and B); P(not A) = 1 − P(A).
- P(A | B) = P(A and B) ÷ P(B); P(A and B) = P(A) · P(B | A).
- Independent events satisfy P(A and B) = P(A) · P(B).
- ₙPᵣ counts ordered selections and ₙCᵣ counts groups where order does not matter.
The 10 questions of the quiz
- The probability of snow is 0.35. What is the probability of no snow?
- P(A) = 0.5, P(B) = 0.3 and P(A ∩ B) = 0.1. What is P(A ∪ B)?
- What is P(A ∩ B)?
- Two events are independent. P(A) = 0.4 and P(B) = 0.5. What is P(A ∩ B)?
- P(A ∩ B) = 0.12 and P(B) = 0.4. What is P(A | B)?
- A club of 9 students votes for a captain and, separately, a co-captain. How many different captain and co-captain pairings are possible?
- In how many ways can a team of 2 be chosen from 9 students?
- What is P(hit)?
- A coin is flipped to decide between two people. Why is this a fair decision?
- A bag has 3 red and 2 blue marbles. One red marble is removed and not replaced. What is the probability the next marble is red?
After the quiz
Missed a question? Reread the Probability Rules, Conditioning and Fair Decisions lesson, then take the quiz again. Next, solve the Geometry worksheet on Probability Rules, Conditioning and Fair Decisions, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.