Unordered Lottery Match Probability
Unordered Lottery Match Probability with explicit assumptions and reproducible inputs.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- One fixed ticket, uniformly random unordered draws without replacement, no bonus pool. Does not model a named lottery’s current rules.
Example Calculation
- Available numbers N: 49
- Numbers drawn / picked n: 6
- Matching numbers k: 6
Matching all6 numbers in a6-of-49 drawing has probability1/13,983,816.
Frequently asked questions
How do I use this calculator?
Enter available numbers n, numbers drawn / picked n, matching numbers k. The result updates automatically. Use Reset to restore the example values.
What method does it use?
P(k matches)=C(n,k)C(N−n,n−k)/C(N,n). One fixed ticket, uniformly random unordered draws without replacement, no bonus pool. Does not model a named lottery’s current rules.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.