Question

Which of the following numbers could not possibly be a​ probability? Justify your answer. 0.123 negative 0.577 0 What must be true for a number to be a​ probability? A. The number must be rational. B. The number must be between 0 and​ 1, exclusive. C. The number must be between minus1 and​ 1, exclusive. D. The number must be between 0 and​ 1, inclusive. E. The number must be between minus1 and​ 1, inclusive. F. The number must be positive. Which of these numbers could not possibly be a​ probability? Select all that apply. A. negative 0.577 B. 0.123 C. 0 D. All of the above numbers are possible probabilities.

Answer 1

First question: -0.577 cannot be a probability.

Second question: The number must be between 0 and 1, inclusive (D)

Third question: -0.577 cannot be a probability.

Explanation:

A probability is a real number that is in the interval [0, 1]. Therefore, any number outside this range cannot be considered a probability. Under this premise:

First question: -0.577 cannot be a probability.

Second question: The number must be between 0 and 1, inclusive (D)

Third question: -0.577 cannot be a probability.