Combined Events and Conditional Probability Quiz
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5 questions, one answer each
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1. A fair coin is flipped and a fair six-sided dice is rolled. What is the probability of getting heads AND rolling a 4?
- A. 1/12
- B. 1/8
- C. 1/6
- D. 1/4
2. A bag contains 5 red balls and 3 blue balls. A ball is drawn at random and not replaced, then another ball is drawn. What is the probability that both balls are red?
- A. 25/64
- B. 25/56
- C. 5/8
- D. 10/16
3. Events A and B are independent. P(A) = 0.3 and P(B) = 0.7. What is P(A or B)?
- A. 0.79
- B. 1.0
- C. 0.21
- D. 0.91
4. A two-way table shows that 60 students play football, 40 play rugby, and 15 play both sports. 200 students were surveyed in total. What is the probability that a randomly selected student plays football OR rugby?
- A. 85/200
- B. 100/200
- C. 115/200
- D. 85/85
5. A student is selected at random from a school. Given that the student plays sport, the probability they play tennis is 0.4. The probability a student plays sport is 0.6. What is the probability a student plays sport AND plays tennis?
- A. 0.24
- B. 0.40
- C. 0.67
- D. 0.20