Probability is the ratio of the desired outcomes to all possible outcomes.
If there are no desired outcomes, the ratio is 0 over all possible outcomes, thus 0.
If the event is all possible outcomes, the ratio is all possible outcomes over all possible outcomes, thus 1.
Probability can never be below zero or negative because desired outcomes can never be negative. If an event is impossible that means there are no desired outcomes meaning that probability is zero, thus couldn't fall below
Probability can never exceed 1 as desired outcomes can never be greater than total outcomes.
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