Work out lottery odds instantly with clear inputs, formula shown and shareable results.
The number of possible tickets is C(pool, pick), and the number matching exactly the required count is C(pick, match) x C(pool - pick, pick - match). A 6 from 49 jackpot is one in 13,983,816, and because the count is a combination, adding a single ball to the pool raises the odds by roughly 15%.
Total combinations
total = C(pool, pick) = pool! / (pick! x (pool - pick)!)
Matching combinations
ways = C(pick, match) x C(pool - pick, pick - match)
total = C(pool, pick) = pool! / (pick! x (pool - pick)!). The number of possible tickets is C(pool, pick), and the number matching exactly the required count is C(pick, match) x C(pool - pick, pick - match).
A 6 from 49 jackpot is one in 13,983,816, and because the count is a combination, adding a single ball to the pool raises the odds by roughly 15%.
Enter numbers you pick, numbers in the pool, numbers you need to match. The defaults shown are a realistic worked example — swap in your own figures to get a result you can use.