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They can't. If they are ME, then if you get one, you know that the other will not occur. By def of Indep. , knowing the outcome of an event cannot tell you info about the other.
Actually, that is not entirely true - in the (rather trivial) case that the probability of one event is zero - both conditions are met. It is false
What else can I help you with?
If two events A and B are mutually exclusive then they are independent?
No, independence means they are not related. Mutually exclusive means they cannot occur at the same time.
Can two events be mutually exclusive and independent simultaneously?
No, two events cannot be mutually exclusive and independent simultaneously. Mutually exclusive events cannot occur at the same time, meaning the occurrence of one event excludes the possibility of the other. In contrast, independent events are defined such that the occurrence of one event does not affect the probability of the other occurring. Therefore, if two events are mutually exclusive, the occurrence of one event implies that the other cannot occur, which contradicts the definition of independence.
What is the definition of mutually exclusive events?
The definition of mutually exclusive events is that the events can't occur at the same time. For example, you can't flip a coin and get a head and a tail; they are mutually exclusive events.
What is potentially inclusive events?
It is the opposite of mutually exclusive. Potentially inclusive are events that can happen at the same time, as mutually exclusive events can't.
Can two mutually exclusive events occur at the same time?
No because the term mutually exclusive implies the the trials that could result in these events are sequenced in time.
What are events that cannot both occur in the same trail of an expierement?
Two events that cannot occur at the same time are called mutually exclusive. If two events are mutually exclusive what is the probability that both occur.
If two events cannot occur at the same time those events are considered to be?
Mutually exclusive.
What is mutually exclusive in probability theory?
two events are mutually exclusive if they cannot occur at the same time. The classic example is a coin toss where you have either heads or tails, but there is NO WAY to have heads and tails at the same time. Heads and tails are mutually exclusive.
When two events are mutually exclusive?
Two mutually exclusive events, means these two event can not occur at the same time. In probability theory, this is stated as: Given events, A and B, then Pr(A and B) = 0. See related link...
What are two events that cannot occur at the same time called?
Two events that cannot occur at the same time are called mutually exclusive.
What are mutually exclusive events?
Mutually exclusive events are occurrences where, say, a couple of propositions are possible, but if one occurs, the other cannot. A coin toss might be a good example. A coin lands heads or it lands tails. It cannot land on both in the same toss. A coin toss, therefore, can be said to be a mutually exclusive event.
Are mutually exclusive events?
Mutually exclusive events are occurrences where, say, a couple of propositions are possible, but if one occurs, the other cannot. A coin toss might be a good example. A coin lands heads or it lands tails. It cannot land on both in the same toss. A coin toss, therefore, can be said to be a mutually exclusive event.
