can events a and b 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)
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Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs. ... When events do not share outcomes, they are mutually exclusive of each other.
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If A and B are independent events, then the events A and B' are also independent. ... From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A. A = ( A ∩ B) ∪ (A ∩ B'). Also, P(A) = P[(A ∩ B) ∪ (A ∩ B')].
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Mutually exclusive events have no sample points in common. Consider the experiment of throwing a die. That is, A and B have no elements (sample points) in common. Hence A and B are mutually exclusive events, as shown in the following Venn diagram.
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Mutually exclusive events cannot happen at the same time. For example: when tossing a coin, the result can either be heads or tails but cannot be both. ... This of course means mutually exclusive events are not independent, and independent events cannot be mutually exclusive.
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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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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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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.
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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.
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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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Mutually Exclusive Events. 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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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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An outcome is in the event A OR B if the outcome is in A, is in B, or is in both A and B. Two events are mutually exclusive if the probability that they both happen at the same time is zero. If events A and B are mutually exclusive, then P(A AND B) = 0.
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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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Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities are equal.
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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. ... The probability that A or B will occur is the sum of the probability of each event, minus the probability of the overlap. P(A or B)
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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.