AP Statistics Unit 4: Probability Rules Page 1 1. A fair six-sided die is rolled twice. What is the probability that the sum of the two rolls is 5? A. 1 18 B. 12 C. 1 D. 6 Ε. 5 36 ==End of OCR for page 1== AP Statistics Unit 4: Probability Rules Page 2 2. In a large high school, 40% of students take a Music class, 30% of students take an Art class, and 10% of students take both Music and Art. If a student is selected at random, what is the probability that they take at least one of these classes? A. 0.10 Β. 0.50 C. 0.60 D. 0.70 Ε. 0.80 Page 2 ==End of OCR for page 2== AP Statistics Unit 4: Probability Rules Page 3 3. 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) = 0 B. P(AUB) = 0.9 C. P(A|B) = 0.4 D. P(A|B) = 0.5 E. P(A ∩ B) = 0.9 Page 3 ==End of OCR for page 3== AP Statistics Unit 4: Probability Rules Page 4 4. 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 marble is 0.25. Events "Red" and "Blue" are mutually exclusive. What is the probability of drawing a marble that is neither red nor blue? A. 0.10 B. 0.40 C. 0.50 D. 0.60 Ε. 0.875 Page 4 ==End of OCR for page 4== AP Statistics Unit 4: Probability Rules Page 5 5. Let P(A) = 0.6, P(B) = 0.5, and P(AUB) = 0.8. A Venn diagram is constructed to model these probabilities. What is the value of P(A∩ B)? A. 0.1 B. 0.2 C. 0.3 D. 0.4 Ε. 1.1 Page 5 ==End of OCR for page 5== AP Statistics Unit 4: Probability Rules Page 6 6. A medical test for a rare disease has a 95% sensitivity (it correctly identifies the disease 95% of the time given the person has it) and a 90% specificity (it correctly identifies healthy people 90% of the time). Suppose 2% of the population actually has the disease. If a person is chosen at random and tested, what is the probability that they test positive? A. 0.019 Β. 0.098 С. 0.117 D. 0.855 Ε. 0.950 Page 6 ==End of OCR for page 6== AP Statistics Unit 4: Probability Rules Page 7 7. At a local coffee shop, 60% of customers order coffee, 30% order a pastry, and 20% order both coffee and a pastry. Given that a randomly selected customer ordered coffee, what is the probability that they also ordered a pastry? A. 5 B. 3 C. 2 D. Ε. 2-3 5-6 Page 7 ==End of OCR for page 7== AP Statistics Unit 4: Probability Rules Page 8 8. 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, what is the probability that she misses at least one? A. 0.23 Β. 1 – 0.83 С. 1 -0.23 D. 0.8 × 0.2 E. 3 × 0.82 × 0.2 Page 8