the probability of an event which is not in the sample space is called zero probability.
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The probability of an event is the likelihood of that event occuring. Probability is a value between (and including) zero and one. ... An event with a probability of zero [P(E) = 0] will never occur (an impossible event). An event with a probability of one [P(E) = 1] means the event must occur (a certain event).
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Let us now practice using the axioms by proving some useful facts. Using the axioms of probability, prove the following: For any event A, P(Ac)=1−P(A). The probability of the empty set is zero, i.e., P(∅)=0.
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