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Because probability is measured from zero to one, where zero means something cannot happen and one meaning it will definitely happen. This can also be looked at as there being a 0% chance or 100% chance of it happening. So obviously there can not be less of a chance than it definitely not happening, so it cannot be less than zero.

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Q: Why can't probability be less than 0?
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Why cannot a probability not be less than 0?

0 means there is no chance of something happening. You cannot have less than no chance of something happening. So a probability cannot be less than 0.


When probability is less then 0 what happen?

Probability can not be less than 0 or greater than 1. A probability of 0 means there is no possibility whatsoever of an event occurring. A probability of 1 means that the event is guaranteed to occur no matter what.


Can a probability be more than 1 or less than 0?

No. A probability of 1 means something will definitely happen. There cannot be a greater certainty than that, so probability cannot be greater than 1. 0 means there is no chance of something happening. You cannot have less than no chance of something happening. So a probability cannot be less than 0.


Can the value of probability be less than zero?

No. Probability must be between 0 and 1.


Why the probability can never be 1 or less than 0?

Probability of 0 is impossible, and 1 is certain. So, probability must be between 0 and 1, inclusive.


Can probability be less than 0?

No, it must be a number in the interval [0, 1].


Can the probability be more than 1 or less than 0?

No, all probabilities are given from a scale of 0 to 1. 0 represents 0% and 1 represents a 100% probability.


What can a probability number be larger than?

Larger or equal to 0 but less than or equal to 1


Is 0.006 a probability?

No, 0.006 is not a valid probability because probabilities must be between 0 and 1. In this case, 0.006 is less than 0 and therefore cannot represent a probability.


Which is not a possible vaule for a probability?

Probability value can only be real number between 0 to 1, therefore, it cannot be greater than 1 or less than 0 or a complex number.


Why cant a probability be less than 0?

How would you interpret such a probability? - A probability of zero means that something is IMPOSSIBLE, while a probability of one means that it is SURE TO HAPPEN. Anything in between means that it MAY happen - the closer to 1, the more likely it is to happen. Anything outside of that range simply doesn't make sense.


Given a standardized normal distribution with a mean of 0 and a deviation of 1 what is the probability that Z is less than 1.51?

From the related link, you can read directly the probability that Z is less than 1.51 is 0.9345.