Probability calculator

Calculate single event probability, combined events, permutations (nPr), and combinations (nCr).

Probability calculator

Single event probability
P = 0.1667   (16.67%)   Odds: 1 in 6
Permutations & combinations
nPr = 720    nCr = 120
Two independent events
P(A and B) = 0.15
P(A or B) = 0.65
P(not A) = 0.50   P(not B) = 0.70

Formulas

P(event) = Favourable outcomes / Total outcomes
nPr = n! / (n−r)!    nCr = n! / (r! × (n−r)!)
P(A and B) = P(A) × P(B)   (independent)
P(A or B) = P(A) + P(B) − P(A and B)

FAQ

What is the difference between permutation and combination?

Permutation counts arrangements where order matters (e.g., lock combinations). Combination counts selections where order doesn't matter (e.g., choosing team members). nPr ≥ nCr always.

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