Question

Provide an appropriate response.

Which of the following cannot be the probability of an event?

0
√6/3
0.001
-17

Answer 1

The probability of an event must be a non-negative number between 0 and 1.

Let's analyze each option to determine if it can be a probability:

A. 0: This is a valid probability value. It represents an event that has no chance of occurring.

B. √6/3: To determine if this is a valid probability, we need to simplify it. √6/3 can be simplified as √(6/9), which further simplifies to √(2/3). The square root of a number less than 1 will also be less than 1, so this can be a valid probability.

C. 0.001: This is a valid probability. It represents an event that has a very low chance of occurring.

D. -17: This cannot be a probability. Probability values must be non-negative, so negative numbers are not valid probabilities.

Therefore, the answer is D. -17 cannot be the probability of an event.

Explanation:

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Answer 2

Which of the following cannot be the probability of an event?

O 0

O √6/3

O 0.001

O -17 ✓

• The probability of an event can never be negative and thus ,this is the correct answer.
• The probability of an event lies between zero and one and thus, there's never a chance of it being a negative number.