Mutually Exclusive
In mathematics, the term “mutually exclusive” refers to a situation where two or more events cannot occur at the same time
In mathematics, the term “mutually exclusive” refers to a situation where two or more events cannot occur at the same time. In other words, if one event happens, the other event(s) cannot occur simultaneously.
To better understand this concept, let’s consider an example. Suppose we have a bag with 3 red marbles and 4 blue marbles. If we randomly select a marble from the bag, the events of choosing a red marble and choosing a blue marble are mutually exclusive. This is because at any given time, a marble from the bag can only be either red or blue, but not both simultaneously.
Another example could be rolling a standard six-sided die. The events of rolling a 3 and rolling a 4 are mutually exclusive since the outcome of the roll can only be one number at a time.
It is important to note that for events to be mutually exclusive, they must have no elements in common. If there are any common outcomes between events, then they are not mutually exclusive.
In probability theory, the concept of mutually exclusive events plays a significant role in determining the probability of multiple events occurring. When events are mutually exclusive, the probability of either event happening is equal to the sum of their individual probabilities.
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