if event a and event b are mutually exclusive then?
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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. ... P(A AND B)=210 P ( A AND B ) = 2 10 and is not equal to zero.
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Addition Rule 1: When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event.
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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. Disjoint: P(A and B) = 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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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. ... This of course means mutually exclusive events are not independent, and independent events 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) ... Therefore, A and C are mutually exclusive.
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Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive because they cannot occur at the same time, it's either a head appears or a tail appears.
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Since P(B) > 0 and P(B|A) = 0, the requirement that an event be contained by A does affect the probability of B occurring, so A and B are not independent. Thus, if A and B are mutually exclusive, they are not independent. Mutual exclusiveness implies that the probability of intersection of the two events is 0.
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Mutually Exclusive Events 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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Mutually Exclusive Events 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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are called mutually exclusive. These are events that cannot occur at the same time. When two events, A and B, are mutually exclusive, the probability of A and B, P(A∩B) = 0.
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Two events are mutually exclusive if they can't both happen. Independent events are events where knowledge of the probability of one doesn't change the probability of the other.
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Two events are mutually exclusive if they cannot occur at the same time. ... 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 called not mutually exclusive if they have at least one outcome in common. If the two events A and B are not mutually exclusive events, then A∩B≠ϕ. Similarly, A,B and C are not mutually exclusive events if A∩B∩C≠ϕ.
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In the case of two mutually exclusive events A and B, each of which has non-zero probability, we have that P(A)P(B)≠0, but P(A∩B)=0, so the events cannot be independent.
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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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Two events are mutually exclusive or disjoint if they cannot occur at the same time. ... The probability that Events A and B both occur is the probability of the intersection of A and B. The probability of the intersection of Events A and B is denoted by P(A ∩ B). If Events A and B are mutually exclusive, P(A ∩ B)