The outcomes of a trial can be a negative integer but the probability of any outcome must be in the range [0, 1].
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Probability is a numerical value defined for a set of outcomes. It is non-negative and such that the sum or integral over all possible outcomes is 1.
It is always non-negative. The sum (or integral) over all possible outcomes is 1.
Probability equals favorable outcomes divided by total number of outcomes.
Probability values are never negative and are always between 0-1 according to the definition Probability of A= Number of outcomes classified as A/Total number of possible outcomes
The probability of an event is the number of outcomes that are favourable to the outcome divided by the total number of outcomes. For continuous variables, it is the proportion of the outcome space, but the same argument applies.The number of favourable outcomes must be non negative and so the probability has to be greater than or equal to 0. Also, the number of favourable outcomes can, at most, be as large as the total number so the probability must be less than or equal to 1.