Determine which of the following numbers could not represent the probability of an event. Explain your reasoning. (a). 33.3% (b). -1.5 (c). 0.0002 (d). 0 (e). 320/1058 (f). 64/25

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Answer:

B and F

Step-by-step explanation:

The simple golden rule that we need to know here is

"The probability of any event is always between 0 and 1 inclusive"

If an event has a probability of p(x), we can say:

[tex]0 \leq p(x) \leq 1[/tex]

Also, probability is ALWAYS POSITIVE.

Thus,

A) OK because 33.3% is 0.333, which is between 0 and 1

B) NOT OK, because probability isn't negative

C) 0.0002 is in between 0 and 1, so possible

D) 0 probability means it can't happen, so that's okay as well

E) this is a fraction with numerator less than denominator, which means its between 0 and 1, so OK

F) this fraction's numerator is greater than denominator, so it's greater than 1. Probability can't be greater than 1, so NOT OK

Out of these B and F cannot represent the probability of an event

Using the probability concept, it is found that these following numbers could not represent the probability of an event:

b) -1.5, as it is negative.

f) 64/25, as it is greater than 1.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes, hence always assuming a positive value between 0 and 1.

Thus, items b and f cannot represent probabilities.

More can be learned about the probability concept at https://brainly.com/question/15536019