When dealing with sets that have mutually disjointed (distinct) elements, IE they are under the system defined by Kolmogorov axioms, they cannot be negative. These are the probabilities normally dealt with.
However, when you deal with issues in quantum mechanics etc, where each element is not distinct, then negative probabilities arise and are used as an intermediary step.The end result will not contain a negative probability when dealing with such quasiprobability systems.
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no, z score can be negative but a probability is a always positive between 0 and 1.
No, it can't.
The outcomes of a trial can be a negative integer but the probability of any outcome must be in the range [0, 1].
No; because probability can never be less than zero.
It depend how many negative numbers are written on the cube.