two mutually exclusive events can be?
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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 mutually exclusive, then the probability of either occurring is the sum of the probabilities of each occurring.
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Mutual exclusivity. ... In logic and probability theory, two events (or propositions) are mutually exclusive or disjoint if they cannot both occur at the same time. A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.
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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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Two events are said to be mutually exclusive if the happening of one event prevents the other event from happening. That is, if they both cannot happen at the same time. Two events are collectively exhaustive if at least one of the events must occur.
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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 (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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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)
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Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40. ... A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent.
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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 B are not mutually exclusive. A AND C do not have any numbers in common so P(A AND C) = 0.
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Two events are mutually exclusive when they cannot occur at the same time. For example, if we flip a coin it can only show a head OR a tail, not both. Independent event: The occurrence of one event does not affect the occurrence of the others.
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Two events are mutually exclusive or disjoint if they cannot occur at the same time. ... If Events A and B are mutually exclusive, P(A ∩ B) = 0. The probability that Events A or B occur is the probability of the union of A and B.
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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. ... A and C do not have any numbers in common so P(A AND C) = 0.
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The difference between mutually exclusive and independent events is: a mutually exclusive event can simply be defined as a situation when two events cannot occur at same time whereas independent event occurs when one event remains unaffected by the occurrence of the other event.
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Answer: If two events are mutually exclusive then they cannot occur at the same time. Step-by-step explanation: If two events are mutually exclusive then they cannot occur at the same time.
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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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If events A and B are mutually exclusive, then the probability of A or B is simply: p(A or B) = p(A) + p(B).
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Events are mutually exclusive if the occurrence of one event excludes the occurrence of the other(s). Mutually exclusive events cannot happen at the same time. ... Events are independent if the occurrence of one event does not influence (and is not influenced by) the occurrence of the other(s).