mutually exclusive events can be independent?
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However the event that you get two heads is mutually exclusive to the event that you get two tails. Suppose two events have a non-zero chance of occurring. Then if the two events are mutually exclusive, they can not be independent. If two events are independent, they cannot be mutually exclusive.
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A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B) = 0. For example, suppose the sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
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If just one possible outcome does not meet the criteria of at least one event, those events are not collectively exhaustive. Furthermore, if a set of events do not share any possible outcomes, then those events are mutually exclusive.
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Note that disjoint events and independent events are different. Events are considered disjoint if they never occur at the same time; these are also known as mutually exclusive events. Events are considered independent if they are unrelated. Two events that do not occur at the same time.
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Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities are equal. ... No, two events with nonzero probabilities cannot be independent and mutually exclusive because independence is the complement of being mutually exclusive.
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Two events are mutually exclusive if they cannot occur at the same time (i.e., they have no outcomes in common). In the Venn Diagram above, the probabilities of events A and B are represented by two disjoint sets (i.e., they have no elements in common).
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No, mutually exclusive events are events that cannot occur simultaneously: they are disjoint. If A and B are disjoint, then P(A∪B)=P(A)+P(B)=0.42+0.38=0.80. That's not the case here, so A and B are not mutually exclusive.
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Mutually Exclusive Events If two events are disjoint, then the probability of them both occurring at the same time is 0. If two events are mutually exclusive, then the probability of either occurring is the sum of the probabilities of each occurring.
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Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.
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Mutually Exclusive Events Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0. If two events are mutually exclusive, then the probability of either occurring is the sum of the probabilities of each occurring.
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Two events A and B are said to be mutually non exclusive events if both the events A and B have atleast one common outcome between them. The events A and B cannot prevent the occurrence of one another so from here we can say that the events A and B have something common in them.
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Two events are said to be disjoint or mutually exclusive when they have no outcomes in common. Two events are independent if they cannot occur simultaneously.
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Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities are equal.
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Mutually Exclusive Events The probability of A and B both occurring is 0 because they can't occur at the same time. If two events are mutually exclusive, then the probability of one or the other occurring is ...
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A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B) Therefore, A and C are mutually exclusive. ...
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1 Answer. Mutual independence: Every event is independent of any intersection of the other events. Pairwise independence: Any two events are independent.
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A and B are mutually exclusive events if they cannot occur at the same time. ... Therefore, A and C are mutually exclusive.