Problem

Determine which numbers could not be used to represent the probability of an event.
Select all that apply.
A. 0 , because probability values must be greater than 0 .
B. 0.0002 , because probability values must be rounded to two decimal places
C. $\frac{320}{1058}$, because probability values cannot be in fraction form.
D. $\frac{64}{25}$, because probability values cannot be greater than 1
E. $33.3 \%$, this is because probahty values cannot be greater than 1
F. -1.5 , because probability values cannot be less than 0

Answer

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Answer

Therefore, the final answer is \(\boxed{D, F}\).

Steps

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 \(\boxed{D, F}\).

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