Probability and Expected Value Independent Events. If two random events are independent of one another, the probability that both will occur is the product of the probabilities of the individual events. For example, if I flip a coin, the probability that it will land heads up is 0.50 (50%).

Independent event. Two events are said to be independent of each other if the probability that one event occurs on any given trial of an experiment is not influenced by the occurrence of the other event under any condition.Alternatively, two events are considered disjoint if they have no outcomes in common and they can never happen together.

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