Non Mutually Exclusive Formula
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FAQ
Non-mutually exclusive events are two or more events that can occur at the same time. The formula for calculating the probability of two non-mutually exclusive events occurring is P ( A and B ) = P ( A ) × P ( B ) .
Two sets are non-mutually exclusive if they share common elements. We call them non-mutually exclusive since they share the common elements of 2 , 4 , 6 and . It follows that two events are non-mutually exclusive if they share common outcomes.
If two events have no elements in common (Their intersection is the empty set.), the events are called mutually exclusive. Thus, P(A?B)=0 . This means that the probability of event A and event B happening is zero. They cannot both happen.
Non-Mutually Exclusive Events (Overlapping Sets): these are sets that share common elements. They intersect on a Venn Diagram. Example: the set of positive integers from 1 to 8 and the even numbers from 1 to 12. Notice that 2, 4, 6, 8 are in the overlaping region between the two sets.
The probability of two mutually exclusive events occurring is 0. To find the probability of one or the other event of a mutually exclusive set is found by the formula P ( A or B ) = P ( A ) + P ( B ) . Non-mutually exclusive events are two or more events that can occur at the same time.