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Lottery odds are calculated using combinations — the number of ways to choose k winning numbers from a pool of N, without regard to order. The odds are typically millions or tens of millions to one against winning the jackpot, making lotteries among the most negative expected value activities available.

공식

Main draw odds = C(N, k) = N! / (k! × (N−k)!)
C
1 in 45 — 1 in 45
N
N! / (k! × (N−k)!) — N! / (k! × (N−k)!)

단계별 가이드

  1. 1Main draw odds = C(N, k) = N! / (k! × (N−k)!)
  2. 2With bonus ball: total odds = C(N,k) × C(B,b)
  3. 3UK Lotto: pick 6 from 59 → C(59,6) = 1 in 45,057,474
  4. 4EuroMillions: pick 5 from 50 + 2 from 12 → 1 in 139,838,160

풀어진 예시

입력
UK Lotto (6 from 59)
결과
1 in 45,057,474
≈ 0.0000022% chance
입력
EuroMillions (5/50 + 2/12)
결과
1 in 139,838,160
About 3× harder than UK Lotto
입력
US Powerball (5/69 + 1/26)
결과
1 in 292,201,338
Less likely than flipping 28 heads in a row

자주 묻는 질문

What is Lottery Probability?

Lottery odds are calculated using combinations — the number of ways to choose k winning numbers from a pool of N, without regard to order. The odds are typically millions or tens of millions to one against winning the jackpot, making lotteries among the most negative expected value activities available

How accurate is the Lottery Probability calculator?

The calculator uses the standard published formula for lottery probability. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Lottery Probability calculator use?

This calculator works with inches, watts. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Lottery Probability calculator use?

The core formula is: Main draw odds = C(N, k) = N! / (k! × (N−k)!). Each step in the calculation is shown so you can verify the result manually.

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