Note Update: AP Statistics: Probability Rules Practice Problems

This document presents a series of multiple-choice problems covering fundamental probability rules, including basic probability, the Addition Rule, independent and mutually exclusive events, conditional probability, and applications in real-world scenarios like medical testing.

Class: AP1 | Unit: Unit 4 | Updated: 2025-12-24

AP StatisticsUnit 4: Probability RulesPage 11. A fair six-sided die is rolled twice. What is the probability that thesum of the two rolls is 5?A. 118B.12C.1D.6Ε. 536AP StatisticsUnit 4: Probability RulesPage 22. In a large high school, 40% of students take a Music class, 30% ofstudents take an Art class, and 10% of students take both Music andArt. If a student is selected at random, what is the probability thatthey take at least one of these classes?A. 0.10Β. 0.50C. 0.60D. 0.70Ε. 0.80Page 2AP StatisticsUnit 4: Probability RulesPage 33. Events A and B are independent. If P(A) = 0.4 and P(B) = 0.5,which of the following statements is true?A. P(A ∩ B) = 0B. P(AUB) = 0.9C. P(A|B) = 0.4D. P(A|B) = 0.5E. P(A ∩ B) = 0.9Page 3AP StatisticsUnit 4: Probability RulesPage 44. A bag contains red, blue, and green marbles. The probability of draw-ing a red marble is 0.35 and the probability of drawing a blue marbleis 0.25. Events "Red" and "Blue" are mutually exclusive. What is theprobability of drawing a marble that is neither red nor blue?A. 0.10B. 0.40C. 0.50D. 0.60Ε. 0.875Page 4AP StatisticsUnit 4: Probability RulesPage 55. Let P(A) = 0.6, P(B) = 0.5, and P(AUB) = 0.8. A Venn diagram isconstructed to model these probabilities. What is the value of P(A∩B)?A. 0.1B. 0.2C. 0.3D. 0.4Ε. 1.1Page 5AP StatisticsUnit 4: Probability RulesPage 66. A medical test for a rare disease has a 95% sensitivity (it correctlyidentifies the disease 95% of the time given the person has it) and a90% specificity (it correctly identifies healthy people 90% of the time).Suppose 2% of the population actually has the disease. If a person ischosen at random and tested, what is the probability that they testpositive?A. 0.019Β. 0.098С. 0.117D. 0.855Ε. 0.950Page 6AP StatisticsUnit 4: Probability RulesPage 77. At a local coffee shop, 60% of customers order coffee, 30% order apastry, and 20% order both coffee and a pastry. Given that a randomlyselected customer ordered coffee, what is the probability that they alsoordered a pastry?A.5B.3C.2D.Ε.2-3 5-6Page 7AP StatisticsUnit 4: Probability RulesPage 88. A basketball player makes free throws with a probability of 0.8. As-sume each shot is independent. If the player shoots 3 free throws, whatis the probability that she misses at least one?A. 0.23Β. 1 – 0.83С. 1 -0.23D. 0.8 × 0.2E. 3 × 0.82 × 0.2Page 8