How do you find the probability of A and B mutually exclusive?

If two events A and B are mutually exclusive, the events are called disjoint events. The probability of two disjoint events A or B happening is: p(A or B) = p(A) + p(B).

Why addition Rule 2 can be used when two events are mutually exclusive?

Addition Rule 2 can be used when two events are mutually exclusive since P(A and B) (probability of event A and B happening) will always equal to 0.

What happens if two events are mutually exclusive?

In statistics and probability theory, two events are mutually exclusive if they cannot occur at the same time. The simplest example of mutually exclusive events is a coin toss. A tossed coin outcome can be either head or tails, but both outcomes cannot occur simultaneously.

Are A and B mutually exclusive?

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.

Are a C and B C mutually exclusive?

(a) If events A and B are mutually exclusive and collectively exhaustive, are Ac and Bc mutually exclusive? Solution Ac ∩ Bc = (A ∪ B)c = Ωc = 0. Thus the events Ac and Bc are mutually exclusive.

Are events A and B mutually exclusive quizlet?

Remember that in general, 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)=0.

When two events are mutually exclusive they have no outcomes in common?

Definition: Two events are mutually exclusive (disjoint) if they have no outcomes in common and so can never occur together.

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