if two events are mutually exclusive can they be independent?
296472
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.
1154115
In general, two events A and B are called mutually exclusive events if the occurrence of any one of them excludes the occurrence of the other event, i.e., if they can not occur simultaneously. In this case the sets A and B are disjoint.
771039
If two events are mutually exclusive, their joint probability is zero because they cannot co-occur. For example, the probability of getting both a head and a tail on one flip of a coin is zero.
459012
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.
1396271
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.
12364
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.
1365538
If two events are mutually exclusive, they cannot both occur in the same trial: the probability of their intersection is zero. The probability of their union is the sum of their probabilities.
130268
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.
506705
When two events, A and B, are mutually exclusive, it means that they cannot both occur at the same time. This would mean that the joint probability of A and B, as well as the conditional probabilities for A and B, are equal to 0.
1115470
2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment.
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.
448829
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)
718412
Mutually Exclusive and Collectively Exclusive Events: 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.
680771
No. You can have dependent events that are not mutually exclusive.
1036691
Consider 2 events A and B which satisfy the condition that they both are mutually exclusive and independent (simultaneously). Thus, if we chose any 2 events such that at least one of them is guaranteed to not occur, then those two events will be both mutually exclusive and independent.
30305
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.
841249
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.