Not Mutually Exclusive
P(A or B) = P(A) + P(B) – P(A and B)
In statistics and probability theory, two events are said to be mutually exclusive if they cannot occur at the same time, i.e., the occurrence of one event precludes the occurrence of the other event. For example, when flipping a coin, the outcomes heads and tails are mutually exclusive because the coin can only land on one side at a time.
Conversely, when two events are not mutually exclusive, it means that they can occur at the same time. In other words, the occurrence of one event does not prevent the occurrence of the other event. For instance, in rolling a six-sided die, the events rolling an even number and rolling a number greater than 4 are not mutually exclusive because the number 6 is both even and greater than 4.
To summarize, two events are not mutually exclusive if they can occur simultaneously or if the occurrence of one event does not affect the probability of the occurrence of the other event.
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