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Q: Can 2 events be both independent and mutually exclusive?
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Continue Learning about Statistics

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.


What are non mutually exclusive events?

Two events are non mutually exclusive events are those that have an overlap. That is, there is at least one outcome that is "favourable" to both events.For example if, for a roll of a die,event A: the outcome is evenevent B: the outcome is a primeThen the outcome 2 is favourable to both A and B and so A and B are not mutually exclusive.


If two events are mutually exclusive what is the probability that both occur at the same time?

The probability is 0. Consider the event of tossing a coin . The possible events are occurrence of head and tail. they are mutually exclusive events. Hence the probability of getting both the head and tail in a single trial is 0.


How can you find the probability of two mutually exclusive events?

The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.


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.