1. |
|
|
The sample space of an experiment is the set of all possible outcomes of that experiment. |
2. |
|
|
An event need not be a subset of the sample space. |
3. |
|
|
Estimated probability is not relative frequency. |
4. |
|
|
Estimated probability is an approximation of theoretical probablity. |
5. |
|
|
Theoretical probability is an approximation of probability. |
6. |
|
|
Estimated probability and theoretical probability are both examples of probability distributions. |
7. |
|
|
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. |
8. |
|
|
If E and F are independent events, then P(EF) = P(E) + P(F) - P(E)P(F). |
9. |
|
|
If E and F are two independent events, then the sum of P(E) and P(F) cannot exceed 1. |
10. |
|
|
There are some events whose probability exceeds 1. |
11. |
|
|
There is a one in six chance of rolling a pair of 7s if two dice are rolled. |
12. |
|
|
There is a one in six chance of rolling a pair if two dice are rolled. |
13. |
|
|
If two events are mutually exclusive, then the sum of their probabilities is 1. |
14. |
|
|
If two events are independent, then they are automatically mutually exclusive. |
15. |
|
|
If P(EF) = P(E) + P(F), then E and F must be disjoint. |
16. |
|
|
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. |
17. |
|
|
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. |
18. |
|
|
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. |
19. |
|
|
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. |
20. |
|
|
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. |