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Independent&Mutually Exclusive

Independent&Mutually Exclusive - one person can win...

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Kyle Daniele 10/15/08 Two events are independent if the occurrence or nonoccurrence of one does not change the probability that the other will occur. Rolling two dice and the probability that you will get a five on each is a good example for this situation. The outcome of a five on the first die does not have any effect on the probability of getting a five on the second die. Mutually exclusive events or disjoint events are events that cannot occur together. For example, when buying a pair of pants, the waist cannot be both too tight and too loose at the same time. If A and B are mutually exclusive, they cannot be independent. If A and B are independent, they cannot be mutually exclusive. If you were to take an election were only
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Unformatted text preview: one person can win an election with A representing Party A’s candidate and B representing Party B’s candidate, it would be a mutually exclusive event because both candidate’s victories cannot happen simultaneously. Conditions under P(A and B) = P(A) x P(B) are true when the two events are independent. For dependent events, we use P(A and B) = P(A) x P(B, given that A has occurred) or P(A and B) = P(B) x P(A, given that B has occurred). Conditions under which P(A or B) = P(A) + P(B) is true is when the event is mutually exclusive. If the events are not mutually exclusive, for any events A and B, P(A or B) = P(A) + P(B) – P(A and B)....
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