Q: If two events A and B are mutually exclusive then they are independent?

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

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

Mutually exclusive.

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.

When considering the probability of two different events or outcomes, it is essential to clarify whether they are mutually exclusive or independent. If the events are mutually exclusive, then the probability that either one or the other will occur equals the sum of their individual probabilities. This is known as the law of addition. If, however, two or more events or outcomes are independent, then the probability that both the first and the second will occur equals the product of their individual probabilities. This is known as the law of multiplication.

Related questions

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

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

No because the term mutually exclusive implies the the trials that could result in these events are sequenced in time.

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.

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.

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...

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.

No, by definition, muatually exclusive cannot occur together .

Mutually exclusive.

If two events ARE mutually exclusive, then it means that they can not both happen simultaneously. For example, if we flip a coin, it can only be heads or tails, not both. an example of not mutually exclusive events are strong winds and rain. it could be strong wind, or rain, or both.

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.

When considering the probability of two different events or outcomes, it is essential to clarify whether they are mutually exclusive or independent. If the events are mutually exclusive, then the probability that either one or the other will occur equals the sum of their individual probabilities. This is known as the law of addition. If, however, two or more events or outcomes are independent, then the probability that both the first and the second will occur equals the product of their individual probabilities. This is known as the law of multiplication.