Probability of 3 Events Calculator

Your details

The probability that event A occurs, expressed as a percentage (0 to 100).
%
The probability that event B occurs, expressed as a percentage (0 to 100).
%
The probability that event C occurs, expressed as a percentage (0 to 100).
%
All three occur - P(A and B and C)Unlikely
0.06%

Probability that events A, B and C all happen (intersection)

At least one occurs - P(A or B or C)0.82%
Exactly one occurs0.45%
At least two occur0.37%
Exactly two occur0.31%
None occur0.18%
All three0.06%
At least one0.82%
Exactly one0.45%
At least two0.37%
Exactly two0.31%
None0.18%

Joint probability: 6.00%. At least one: 82.00%.

  • The chance that all three events happen simultaneously is 6.00%.
  • If you care about at least one happening, the probability rises to 82.00% because each event adds coverage.
  • There is still a 18.00% chance that none of the three events occur.
  • Exactly one event occurs 45.00% of the time, meaning partial success is more common than complete success or complete failure.

Next stepThese results assume all three events are independent. If any event influences another (for example, they share a common cause), you would need conditional probabilities instead.

 = Powered by OnlyCalculators