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Probability Calculator: Compute Probability of Events, Unions, Intersections, and Conditional Probability
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Notation

  • P( A ):
    Probability of event A
  • P( A' ):
    Probability that event A does not occur
  • P( B|A ):
    Conditional probability of event B, given event A
  • P(A ∪ B):
    Probability that event A and/or event B occurs. This is also known as the probability of the union of A and B.
  • P(A ∩ B):
    Probability that event A and event B both occur. This is also known as the probability of the intersection of A and B.

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Probability Calculator: Solve Basic Probability Problems

The Probability Calculator computes the probability of one event, based on probabilities of other related events. The calculator handles problems that can be addressed using three basic rules of probability - the subtraction rule, addition rule, and multiplication rule.



  • Specify the main goal of the analysis (via the dropdown box).
  • Enter the known probabilities in the various text boxes.
  • If you do not know the value for a particular probability, leave the text box blank.
  • Click the Calculate button to create a summary report.
Main goal
Probability of event A
Probability that event A does not occur
Probability of event B
Conditional probability of B, given A
Probability of the union of events A and B
Probability of intersection of events A and B     


Summary Report



To create a report, enter data into the Probability Calculator and click the Calculate button.



Frequently-Asked Questions


Instructions: To find the answer to a frequently-asked question, simpl