Enter the probability of event A and event B into the Calculator. The calculator will evaluate the Overlapping Probability. 

Overlapping Probability Formula

OP = P(A) + P(B) - P(a+B)

Variables:

  • OP is the Overlapping Probability ()
  • P(A) is the probability of event A
  • P(B) is the probability of event B
  • P(a+B) is the probability of both events

To calculate Overlapping Probability, add the probability of event A to that of event B, then subtract the probability of both events from the result.

How to Calculate Overlapping Probability?

The following steps outline how to calculate the Overlapping Probability.

  1. First, determine the probability of event A. 
  2. Next, determine the probability of event B. 
  3. Next, determine the probability of both events occuring.
  4. Next, gather the formula from above = OP = P(A) + P(B) – P(a+B).
  5. Finally, calculate the Overlapping Probability.
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

probability of event A = 3

probability of event B = 5

probability of A and B = 2