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Q. What are Mutually Exclusive events?
Mutually Exclusive
Events are mutually exclusive if they cannot occur at the same time. For example, if you roll one die, you cannot roll both 1 and 2. Events A and B are mutually exclusive if their intersection is empty,. This means that they do not share any common elements. Mutually exclusive events can be shown with a Venn diagram:
Property: If A and B are mutually exclusive, then P(A or B) = P(A) + P(B). In words, this means that the probability of A OR B occurring is equal to the probability of A occurring plus the probability of B occurring.
Proof: Using the previous definition for probability, we have:
Since A and B are mutually exclusive, there is no element in A and in B.
Assume that (X, d) is a metric space and let (x1, : : : , x n ) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , x n ) obtain
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