Question

Prove that sum of all the probabilities in an event is equal to 1.

Answer 1

Answer: The sum of the probabilities of all outcomes must equal 1 . If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities. The probability that an event does not occur is 1 minus the probability that the event does occur.

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Answer 2

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The sum of the probabilities in a probability distribution is always 1. A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. ... The sum of all the probabilities in the distribution must be equal to 1.