Work out bingo probability instantly with clear inputs, formula shown and shareable results.
Each card number has been called with probability calls over pool size, so expected marks are that times the card size; a full house needs every card number among the calls, which is C(called, card) / C(pool, card). Expected marks rise linearly with calls but the full house chance rises far more steeply, which is why games seem to end suddenly after a slow start.
Expected marks
expected = card numbers x calls made / pool size
Full card
P(all covered) = C(calls made, card numbers) / C(pool, card numbers)
expected = card numbers x calls made / pool size. Each card number has been called with probability calls over pool size, so expected marks are that times the card size; a full house needs every card number among the calls, which is C(called, card) / C(pool, card).
Expected marks rise linearly with calls but the full house chance rises far more steeply, which is why games seem to end suddenly after a slow start.
Enter numbers in the pool, numbers called so far, numbers on your card. The defaults shown are a realistic worked example — swap in your own figures to get a result you can use.