MATH / PROBABILITY DISTRIBUTIONS
Calculate an exact success-count probability for sampling without replacement. Review the equation, substituted values, result, assumptions, and interpretation in one focused workspace.
Use boundary
Calculate an exact success-count probability for sampling without replacement. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
P(X=x)=C(K,x)C(N-K,n-x)/C(N,n)
What you provide
What you receive
Use boundary
The sample is uniformly selected without replacement from a finite population.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors