Mutually Exclusive Events Probability Calculator
Easily calculate the probability of mutually exclusive events. Input individual probabilities and find the combined probability. Visualize results instantly.
Enter Event Probabilities
For mutually exclusive events, enter the probability of each event occurring. Probabilities should be between 0 and 1.
Result
Probability Visualization
Visual representation of each event's probability contributing to the total combined probability.
Understanding Mutually Exclusive Events
In probability theory, two events are mutually exclusive if they cannot occur at the same time. If event A and event B are mutually exclusive, the probability of either A or B occurring is the sum of their individual probabilities.
Formula: For mutually exclusive events \(A_1, A_2, ..., A_n\), the probability of any one of them occurring is:
Example: Consider rolling a standard six-sided die. The events "rolling a 2" and "rolling a 5" are mutually exclusive because you cannot roll a 2 and a 5 at the same time. If the probability of rolling a 2 is 1/6 and the probability of rolling a 5 is 1/6, then the probability of rolling either a 2 or a 5 is \(1/6 + 1/6 = 2/6 = 1/3\).
This calculator helps you quickly determine the combined probability when dealing with multiple mutually exclusive events. Simply input the individual probabilities, and let the tool do the rest!