How to use this calculator
Choose the size of the number pool and how many distinct numbers are drawn. Your selection has the same size as the draw. Order does not matter, every combination is equally likely, and there are no bonus numbers. The output is the probability of exactly the match count you enter. It does not calculate prize value, shared jackpots or rules from a named lottery.
The formula
C(d,k) C(N − d,d − k) / C(N,d)
Here p is a probability from 0 to 1, n is a whole number of attempts, C(a,b) counts combinations, and ∏ means multiply all the factors. The input labels define the other symbols.
A worked example
In a hypothetical pick-5-from-40 draw, matching all 5 is 1 in 658,008.
Does this predict what I will get?
No. It describes a probability under the rules you enter. A single run can differ from the average. A displayed rounded 100% may still be slightly below certainty unless the model includes a guarantee.
Where do the rates come from?
You enter them. Check the rules and rate disclosure for your exact outcome. We do not supply odds for real products, collect account details or fetch rates from a game or seller.