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What are mutually exclusive events?

Updated: 4/28/2022
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6y ago

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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.

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Q: What are mutually exclusive events?
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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.


If two events are mutually exclusive then they must be dependent?

No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.


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 is True about mutually exclusive events?

At most one of the events can occur.


How determine probablity for mutually exclusive events?

Mutually exclusive events are considered two events that cannot coexist with one another, in other words, if the first event is happening the second just cannot. Determining the probability for mutually exclusive events can be done by using the formula P ( A and B ) = 0.


Are dependent events always mutually exclusive?

Yes.


Are complementary events also mutually exclusive events?

Yes, they are. Mutually exclusive events cannot occur together. Complementary events cannot occur together either because an event and its complement are the negative of each other.


In maths What is Mutually exclusive probability?

Mutually exclusive means they are independent of one another. So, the two events are independent of one another.


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 2 events be both independent and mutually exclusive?

Yes.


If two events are mutually exclusive what is the probability that one or the other occurs?

Add the probabilities of the two events. If they're not mutually exclusive, then you need to subtract the probability that they both occur together.