Step 1 :Determine which numbers could not be used to represent the probability of an event. The options are: A. 0, B. 0.0002, C. \(\frac{320}{1058}\), D. \(\frac{64}{25}\), E. 33.3%, F. -1.5
Step 2 :The probability of an event is a measure of the likelihood that the event will occur. By definition, a probability is a number between 0 and 1, inclusive. It can be expressed as a fraction, a decimal, or a percentage.
Step 3 :Therefore, any number less than 0 or greater than 1 cannot be used to represent the probability of an event. Also, any number that is a fraction, a decimal, or a percentage between 0 and 1, inclusive, can be used to represent the probability of an event.
Step 4 :From the given options, the numbers that could not be used to represent the probability of an event are the ones corresponding to options D and F, which are \(\frac{64}{25}\) and -1.5 respectively.
Step 5 :Therefore, the final answer is \(\boxed{D, F}\).