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

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

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

Solution

Solution Steps

To determine which numbers could not be used to represent the probability of an event, we need to check the following conditions:

Probability values must be between 0 and 1, inclusive.
Probability values can be in decimal or fraction form.
Probability values do not need to be rounded to two decimal places.

Step 1: Identify Invalid Probability Values

To determine which numbers cannot represent the probability of an event, we need to check if each option falls within the valid range of probabilities, which is $ [0, 1] $.

Step 2: Evaluate Each Option

Option A: $ -1.5 $ is less than $ 0 $, thus invalid.
Option B: $ 33.3\% = \frac{33.3}{100} = 0.333 $ is within the range, thus valid.
Option C: $ 0.0002 $ is greater than $ 0 $ and less than $ 1 $, thus valid.
Option D: $ \frac{320}{1058} \approx 0.3025 $ is within the range, thus valid.
Option E: $ \frac{64}{25} = 2.56 $ is greater than $ 1 $, thus invalid.
Option F: $ 0 $ is within the range, thus valid.

Step 3: Compile Invalid Options

From the evaluation, the invalid options are A and E.