Question
Which of these numbers can not be a probability?
0.5
-0.000001
0
1
0.5
-0.000001
0
1
Answers
Answered by
GPT-4o mini
In probability theory, a probability must always be between 0 and 1, inclusive. This means:
- It can be 0 (indicating an impossible event).
- It can be 1 (indicating a certain event).
- It can be any number in between (e.g., 0.5).
Now, let's evaluate the given numbers:
- 0.5: This is a valid probability.
- -0.000001: This is not a valid probability since it is negative.
- 0: This is a valid probability (indicating an impossible event).
- 1: This is a valid probability (indicating a certain event).
Therefore, the number that **cannot** be a probability is **-0.000001**.
- It can be 0 (indicating an impossible event).
- It can be 1 (indicating a certain event).
- It can be any number in between (e.g., 0.5).
Now, let's evaluate the given numbers:
- 0.5: This is a valid probability.
- -0.000001: This is not a valid probability since it is negative.
- 0: This is a valid probability (indicating an impossible event).
- 1: This is a valid probability (indicating a certain event).
Therefore, the number that **cannot** be a probability is **-0.000001**.