Bingo pattern calculator
One specified pattern
How it works
Choose the count of distinct required numbers, excluding free squares. This is the probability of completing that pattern, not of beating the other players.
A four-number pattern in a 75-ball game is complete after 20 calls with probability C(20,4)/C(75,4), about 0.399%.
Uniform draws without replacement. Card patterns may overlap, so expected completed cards can be added but probabilities of winning cannot be treated as independent.
Related calculators
How the Bingo pattern calculator works
Choose the count of distinct required numbers, excluding free squares. This is the probability of completing that pattern, not of beating the other players.
Bingo pattern calculator
A four-number pattern in a 75-ball game is complete after 20 calls with probability C(20,4)/C(75,4), about 0.399%.
Uniform draws without replacement. Card patterns may overlap, so expected completed cards can be added but probabilities of winning cannot be treated as independent.
FAQ
Bingo pattern calculatorexpand_more
P(complete by n) = C(n,r) / C(N,r). Uniform draws without replacement. Card patterns may overlap, so expected completed cards can be added but probabilities of winning cannot be treated as independent.