Not Mutually Exclusive
two instances or outcomes can occur simultaneously, and one outcome does not limit the other from being possible
When two events are not mutually exclusive, it means that they can occur at the same time. That is, both events have some outcomes in common. For example, if you roll a six-sided dice, the events of getting an even number and getting a number less than or equal to four are not mutually exclusive because the outcomes 2 and 4 satisfy both the events.
In probability theory, the probability of two events A and B occurring when they are not mutually exclusive can be calculated using the formula:
P(A or B) = P(A) + P(B) – P(A and B)
Here, P(A or B) represents the probability of either A or B (or both) occurring, P(A) represents the probability of A occurring, P(B) represents the probability of B occurring, and P(A and B) represents the probability of both A and B occurring together.
It is important to note that if two events are mutually exclusive, the probability of either A or B occurring is simply the sum of their individual probabilities, i.e., P(A or B) = P(A) + P(B).
More Answers:
Outcomes In Education: Importance, Measurement, And ImplementationIndependent Events In Probability And Statistics
The Sample Space In Probability Theory: Definition And Examples.