🎲 Probability of 3 Events Calculator
Enter the probability of three independent events to calculate the chance all occur, at least one occurs, or none occur.
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Probability of three independent events
This calculator finds combined probabilities for three independent events — events where the outcome of one does not affect the others (like separate coin flips or unrelated random draws).
The formulas used
P(A and B and C) = P(A) × P(B) × P(C). P(none occur) = (1−P(A)) × (1−P(B)) × (1−P(C)). P(at least one occurs) = 1 − P(none occur).
These formulas only apply when the three events are truly independent. For events that are dependent or mutually exclusive, different rules apply, and this general-purpose calculator should be used for planning and educational estimates only.
Last reviewed August 2026