define impossible and certain event ?
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An impossible event is an event that cannot happen. E is an impossible event if and only if P(E) = 0. Example. In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
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The probability of an event A, symbolized by P(A), is a number between 0 and 1, inclusive, that measures the likelihood of an event in the following way: ... If P(A) = P(B) then events A and B are equally likely to occur. If event A is impossible, then P(A) = 0. If event A is certain, then P(A) = 1.
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