Question

Determine which of the following numbers could not be​ probabilities, and​ why? Select all that apply. A. The number 110​% could not be a probability because it is larger than​ 100%. B. The number 5.42 could not be a probability because it is larger than 1. C. The number 0.001 could not be a probability because it is extremely small. D. The number 0.58 could not be a probability because it is smaller than 1. E. The number negative 120​% could not be a probability because it is negative.

Answer 1

A, B and E could not be probabilities

Explanation:

By definition, a probability could be any number between 0 and 1. So a probability P would be 0≤P≤1. In percentages, 0% ≤ P ≤ 100%

Considering this we would have that:

A) 110% could not be a probability because it's larger than 100%

B) 5.42 could not be a probability because it's larger than 1.

C) 0.001 could be a probability because it's larger than 0 and smaller than 1 (It doesn't matter how small it is)

D) 0.58 could be a probability because it's between 0 and 1.

E) -120% could not be a probability because it's smaller than zero. (it's a negative number)

Thus, A), B) and E) could not be probabilities.