Final answer:
Appropriate probability values are those that range between 0 and 1, inclusive. In the given options, p = 1 and p = 2/15 are correct as they fall within this range. Values over 1 or negative are not appropriate probabilities.
Step-by-step explanation:
When considering the appropriateness of a probability value, it is crucial to remember that the probability of an event is always a number between 0 and 1, inclusive. This means that the smallest probability is 0 (the event cannot happen), and the largest is 1 (the event is certain to happen). Let's analyze the options one by one:
- A) p = 1: Yes, this is an appropriate probability. It indicates the event is certain to happen.
- B) p = 45: No, this is not an appropriate probability. Probabilities greater than 1 are not possible because they would indicate more than a certain chance of happening, which does not make sense.
- C) p = 2/15: Yes, this is an appropriate probability. It is between 0 and 1, so it represents a possible event that is not certain to happen.
- D) p = -1.45: No, this is not an appropriate probability. Negative probabilities do not make sense because you cannot have less than a zero chance of something happening.
Thus, the appropriate probability values from the options given are A) p = 1 and C) p = 2/15.