In a 6/59 lottery, you pick 6 numbers from a pool of 59. The total number of possible combinations determines the jackpot odds. The 6/59 lottery probability calculator computes your exact chances of matching any number of balls, using the same combinatorial mathematics that power all lottery odds calculations.

The Math

Total combinations = C(59, 6) = 59! / (6! × 53!) = 45,057,474

Your chance of winning the jackpot with one ticket is 1 in 45,057,474. This is roughly 3.2 times harder than winning a standard 6/49 lottery (1 in 14 million). The 6/59 format is used by Lotto Max in Canada and select European games, often offering larger starting jackpots to compensate for the longer odds.

Prize Tiers

To calculate the odds of matching exactly m numbers out of your 6 picks:

P(match m) = C(6, m) × C(53, 6−m) / C(59, 6)

This accounts for choosing m correct numbers from your 6 picks, and filling the rest from the 53 numbers you didn't pick. For matching exactly 3 numbers: C(6,3) × C(53,3) / C(59,6) = 20 × 23,426 / 45,057,474 ≈ 1 in 96. For matching exactly 4 numbers: C(6,4) × C(53,2) / C(59,6) = 15 × 1,378 / 45,057,474 ≈ 1 in 2,179. The lottery odds calculator shows each tier's probability with exact step-by-step work.

Comparing 6/59 with Other Formats

The 6/59 format sits between classic 6/49 and the US multi-state games in terms of difficulty. While Powerball (1 in 292 million) is about 6.5 times harder than 6/59, the 6/59 jackpot odds are still extraordinarily long. You are about 80 times more likely to be dealt a royal flush in poker than to win a 6/59 jackpot. The 6/59 lottery probability calculator helps you understand these comparisons with real numbers.

Common Mistakes

  • Thinking odds improve with more tickets: Each ticket is independent. Buying 10 tickets gives 10 chances in 45 million — still 1 in 4.5 million, not guaranteed.
  • Confusing "exactly m" with "at least m": Matching at least 3 numbers requires summing the probabilities for m = 3, 4, 5, and 6.
  • Believing in "due" numbers: Lottery draws are independent. Past results don't affect future draws.
  • Overestimating prize tier chances: Many players don't realize that matching 2 numbers typically wins nothing in 6/59 games — you usually need at least 3 matches.
What are my odds of winning any prize in 6/59?
It depends on the prize structure, but typically matching 2 or 3 numbers wins a small prize. Check your lottery's specific rules.
Does buying more tickets significantly improve my odds?
Mathematically yes, but practically no. 10 tickets out of 45 million is still a 0.00002% chance. Your odds remain extremely low.

The 6/59 lottery format is common in Canadian Lotto Max and several European games. With 59 balls instead of 49, the total combinations jump from 13.9 million to 45 million — making the jackpot more than three times harder to win than a standard 6/49 game. However, larger ball pools often mean larger jackpots and different prize structures.

Calculating your odds of matching exactly m numbers from your 6 picks uses the formula C(6,m) × C(53,6-m) / C(59,6). For m=3 (matching exactly 3 numbers), this gives C(6,3) × C(53,3) / C(59,6) ≈ 1 in 97. Most 6/59 games require matching at least 3 numbers for a prize.

Our calculator shows the exact number of ways to match each tier and the precise probability. You can adjust the number of picks to analyze different play strategies. The step-by-step breakdown shows every combination calculation so you understand exactly how the odds are derived.

Quick Facts

Total combos: 45,057,474

Jackpot odds: 1 in ~45 million

Match 5 odds: 1 in ~186,514

Match 4 odds: 1 in ~2,574