| 1. |
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The sample space of an experiment is the set of all possible outcomes of that experiment. |
| 2. |
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An event is not always a subset of the sample space. |
| 3. |
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If E is the event that it will rain today and F is the event that it will not rain today, then E  F = S. |
| 4. |
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If E and F are independent events, then P(EF) = P(E) + P(F)  P(E)P(F). |
| 5. |
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If E and F are two independent events, then the sum of P(E) and P(F) cannot exceed 1. |
| 6. |
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There are some events whose probability exceeds 1. |
| 7. |
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There is a one in six chance of rolling a pair of 7s if two dice are rolled. |
| 8. |
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There is a one in six chance of rolling a pair if two dice are rolled. |
| 9. |
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If two events are mutually exclusive, then the sum of their probabilities is 1. |
| 10. |
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If two events are independent, then they are automatically mutually exclusive. |
| 11. |
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If P(EF) = P(E) + P(F), then E and F must be disjoint. |
| 12. |
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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. |
| 13. |
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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. |
| 14. |
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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. |
| 15. |
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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. |
| 16. |
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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. |
| 17. |
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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. |
| 18. |
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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. |
| 19. |
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If heads has come up six times in a row, then tails is more likely to come up on the seventh toss. |
| 20. |
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I 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. |
