True/False Quiz for Chapter 6

Probability

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1. The sample space of an experiment is the set of all possible outcomes of that experiment. True False

2. An event is not always a subset of the sample space. True False

3. If E is the event that it will rain today and F is the event that it will not rain today, then E union F = S. True False

4. If E and F are independent events, then P(E union F) = P(E) + P(F) - P(E)P(F). True False

5. If E and F are two events, then the sum of P(E) and P(F) cannot exceed 1. True False

6. There are some events whose probability exceeds 1. True False

7. There is a one in six chance of rolling a pair of 7s if two dice are rolled. True False

8. There is a one in six chance of rolling a pair if two dice are rolled. True False

9. If two events are disjoint, then they cannot be independent. True False

10. If two events are independent, then they are automatically disjoint. True False

11. If P(E union F) = P(E) + P(F), then E and F must be disjoint. True False

12. There is a 50% chance of rain today and a 50% chance of rain tomorrow. Therefore, there is a 100% chance of rain either today or tomorrow. True False

13. There is a 50% chance of rain today and a 50% chance of rain tomorrow. Therefore, there is a 75% chance of rain either today or tomorrow. True False

14. There is a 50% chance of rain today and a 50% chance of rain tomorrow. Therefore, there is a 25% chance that it will rain today but not tomorrow. True False

15. There is a 50% chance of rain today and a 50% chance of rain tomorrow. Therefore, there is a 50% chance of rain on exactly one of the next two days. True False

16. If E is the event that an athlete tests positive in a drug test and F is the event that an athlete has used drugs, then P(E|F) is the probability that an athlete who has used drugs tests positive. True False

17. If E is the event that an athlete tests positive in a drug test and F is the event that an athlete has used drugs, then P(E|F) is the probability that an athlete who tests positive has used drugs. True False

18. If a coin is tossed five times, then the probability of heads coming up twice is the same as the probability of heads coming up three times. True False

19. If heads has come up six times in a row, then tails is more likely to come up on the seventh toss. True False

20. If you toss a coin seven times, is more likely that heads will come up six times and tails once than that heads will come up seven times in a row. True False