Not Mutually Exclusive
In mathematics, two events are said to be “mutually exclusive” if they cannot occur at the same time
In mathematics, two events are said to be “mutually exclusive” if they cannot occur at the same time. In other words, if one event happens, the other event cannot happen simultaneously.
However, “not mutually exclusive” refers to the opposite scenario. In this case, two events can occur at the same time, meaning they are not mutually exclusive.
To provide a clearer understanding, let’s consider a simple example: rolling a fair six-sided die. Suppose we have two events: A = rolling an even number, and B = rolling a number greater than 4.
If we roll the die and get a 2, A occurs, but B does not occur since 2 is not greater than 4. In this case, A and B are mutually exclusive because they cannot happen simultaneously.
However, if we roll the die and get a 6, both events A and B occur. 6 is both an even number and greater than 4. Thus, in this case, A and B are not mutually exclusive.
To summarize, events that are not mutually exclusive can occur simultaneously, while mutually exclusive events cannot.
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