Questions: Which of the following numbers could not possibly be a probability? Justify your answer. 0.788 -0.351 1 What must be true for a number to be a probability? A. The number must be between -1 and 1, exclusive. B. The number must be between 0 and 1, inclusive. C. The number must be between 0 and 1, exclusive. D. The number must be positive. E. The number must be between -1 and 1, inclusive. F. The number must be rational. Which of these numbers could not possibly be a probability? Select all that apply. A. 0.788 B. -0.351 C. 1 D. All of the above numbers are possible probabilities.

Which of the following numbers could not possibly be a probability? Justify your answer.
0.788
-0.351
1

What must be true for a number to be a probability?
A. The number must be between -1 and 1, exclusive.
B. The number must be between 0 and 1, inclusive.
C. The number must be between 0 and 1, exclusive.
D. The number must be positive.
E. The number must be between -1 and 1, inclusive.
F. The number must be rational.

Which of these numbers could not possibly be a probability? Select all that apply.
A. 0.788
B. -0.351
C. 1
D. All of the above numbers are possible probabilities.

Transcript text: Which of the following numbers could not possibly be a probability? Justify your answer. 0.788 $-0.351$ 1 What must be true for a number to be a probability? A. The number must be between -1 and 1 , exclusive. B. The number must be between 0 and 1 , inclusive. C. The number must be between 0 and 1 , exclusive. D. The number must be positive. E. The number must be between -1 and 1 , inclusive. F. The number must be rational. Which of these numbers could not possibly be a probability? Select all that apply. A. 0.788 B. -0.351 C. 1 D. All of the above numbers are possible probabilities.

Solution

Solution Steps

To determine which numbers could not possibly be a probability, we need to understand the properties of probabilities. A probability must be a number between 0 and 1, inclusive. This means it cannot be negative and cannot be greater than 1.

Step 1: Understanding Probability Constraints

A probability $ P $ must satisfy the condition $ 0 \leq P \leq 1 $. This means that probabilities cannot be negative and cannot exceed 1.

Step 2: Evaluating Each Number

We will evaluate the given numbers: