if a and b are independent events then they are mutually exclusive?
87839
This makes sense because if A and B are mutually exclusive, then if A occurs, then B cannot also occur; and vice versa. ... Then if the two events are mutually exclusive, they can not be independent. If two events are independent, they cannot be mutually exclusive.
1338400
If the outcome of event A is not affected by event B, then events A and B are said to be a) mutually exclusive. ... If event A and event B cannot occur at the same time, then events A and B are said to be a) mutually exclusive. b) independent. c) collectively exhaustive.
1249670
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.
121039
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.
1026157
If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B)
358008
Two events are mutually exclusive or disjoint if they cannot occur at the same time. The probability that Event A occurs, given that Event B has occurred, is called a conditional probability. ... If Events A and B are mutually exclusive, P(A ∩ B) = 0.
432318
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.
1387861
Therefore, we see that a mutually exclusive pair of nontrivial events are also necessarily dependent events. ... Then if the two events are mutually exclusive, they can not be independent. If two events are independent, they cannot be mutually exclusive.
621156
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.
1098145
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.
710470
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) = 0.
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Answer and Explanation: Since these events are mutually exclusive, they cannot both occur, so P(A and B) = 0.
192996
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.
551743
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 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.
544170
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.
1134145
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')].