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Calculation Machine

Lottery Odds Calculator

Odds of matching all numbers in a lottery draw.

Reviewed by the Calculation Machine team · How we check our maths

Your values

ⓘ Live results

Results
Total combinations
13,983,816
Odds of jackpot
1 in 13,983,816
Probability
7.151e-6%

Quick answer

The odds of matching all drawn numbers equal 1 in C(pool, drawn), the total number of equally likely combinations.

The formula

odds = 1 / C(pool, drawn)

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • Number pool size49
  • Numbers drawn6

Result

  • Total combinations13,983,816
  • Odds of jackpot1 in 13,983,816
  • Probability7.151e-6%

How to use the Lottery Odds Calculator

  1. 1Enter the total pool of numbers to choose from.
  2. 2Enter how many numbers are drawn for a winning ticket.
  3. 3The odds are 1 divided by the total number of equally likely combinations.

Frequently asked questions

Does buying more tickets help?

Yes proportionally — 10 tickets give 10 times the chance, but the odds remain extremely long.

What about bonus numbers?

This tool covers the base combination; a separate bonus ball multiplies the odds further.

About this calculator