Austrian Lotto Odds Calculator

This calculator is Österreichische Lotterien’s Lotto 6aus45: six numbers from 1 to 45, typically €1.20 per line, draws Wednesday and Sunday. Set Tickets to the number of 6aus45 combinations on the slip you care about for one draw. Joker is a separate add-on with its own digits and prize table; do not convert a Joker purchase into extra Lotto Tickets. If you play a system that expands into multiple 6-number lines, enter that expanded count.

Price defaults to 1.2. If your actual stake differs because of a campaign or a bundled Joker, either isolate the Lotto €1.20 or knowingly mix costs. Jackpot is the advertised 6aus45 jackpot in euros. Paste the current Wednesday or Sunday figure. EV is jackpot-only.

Main Matches defaults to 6. Drop it for exact-k odds on the six drawn numbers (the familiar 6aus45 lower ranks). There is no Bonus Matches field. Austrian Lotto’s jackpot is six correct numbers from 45. A bonus ball may exist in prize-tier folklore or adjacent products; this model does not take one. Joker is not a bonus ball. Joker is an extra number game sitting on the same coupon.

Read Jackpot Odds as 1 in 8,145,060, the same C(45,6) as Dutch Lotto, at a cheaper default Price. That Price difference is why Austrian EV at a given jackpot looks less ugly per line than Dutch EV at €2, even though the combination wall is identical. Jackpot Chance still barely moves unless Tickets is huge. Use the tool to compare a €1.20 Wednesday line with a Sunday pile-up after a rollover, and to keep Joker out of the 6aus45 probability.

Walk a Wednesday coupon: Tickets = 4 for four 6aus45 lines, Price = 1.2, Jackpot pasted from Österreichische Lotterien, Main Matches = 6. If the same slip has Joker digits, leave them out of every field. After you read Jackpot EV, set Main Matches to 5 to print the 234 / 8,145,060 exact-five rate. Sunday rollovers do not get a second Jackpot field; update the number and recompute. Two draws in one week are two calculator runs, not Tickets = 8 unless both piles sit on one draw. The tool is stubbornly single-draw on purpose.

Lotto 6aus45 is the Austrian flagship combination lottery, launched in 1986 and run by Österreichische Lotterien. You pick six numbers from 1 to 45. Draws are Wednesday and Sunday. The standard line is about €1.20, which is why Price defaults to 1.2. The matrix is the same size as Dutch Lotto’s 6/45, but the product is not Nederlandse Loterij’s Saturday Lotto: different operator, different draw days, different extras, different jackpot culture.

Joker is the famous add-on. It is a separate chance number (a drawn integer prize ladder), not a seventh lotto ball and not a bonus pool in this calculator. Players often buy Lotto + Joker on one slip and then ask “what are my odds?” as if it were one experiment. It is two experiments. This page is 6aus45 only. If you want Joker odds, you need a different model (typically 1 in 10^k depending on how many Joker digits you matched).

Austria also sells EuroMillions and other games. 6aus45 remains the domestic 6-from-45 identity. Jackpots can roll; they are euro-denominated and usually modest next to EuroMillions caps. Sharing a 6aus45 jackpot is possible. Tax and assignment rules are outside the tool.

Because C(45,6) equals the Dutch figure, comparative articles sometimes claim Dutch and Austrian Lotto are “the same odds.” Jackpot odds yes; full product no. Price €1.20 versus €2, Wednesday/Sunday versus Saturday, Joker versus Dutch add-ons, and different prize tables. This calculator keeps the 6aus45 jackpot honest and lets you vary Tickets, Price, Jackpot, and Main Matches without importing a bonus ball the definition does not have.

1986 launch trivia is not a luck charm. Österreichische Lotterien has changed marketing, add-ons, and jackpot presentation without touching the 6-from-45 identity that this page computes. EuroMillions tickets sold in Vienna use a different matrix entirely. Players who “always add Joker because it is cheap” are buying a second game; quoting a blended “Austrian lottery odds” number from that habit is how 6aus45 gets smeared into nonsense. Keep Joker, EuroMillions, and 6aus45 in separate mental accounts, and use this calculator only for the last of those.

Österreichische Lotterien launched Lotto 6aus45 in 1986: six numbers from 1 to 45, Wednesday and Sunday, about 1.20 euros a line. The jackpot combination count is C(45,6) = 8,145,060, identical to Dutch Saturday Lotto and a different commercial object. Probability is 1/C(45,6) = 1/8,145,060, with no bonus multiplier in this jackpot model. Joker is a separate integer prize ladder sold on the same coupon; it is not a seventh lotto ball and not a factor in 8,145,060. Players who buy Lotto plus Joker and then ask for “Austrian lottery odds” as one number are mixing two experiments. EuroMillions tickets in Vienna use 5/50 plus two stars, yet another matrix.

History is the distinguisher from the Netherlands. Same binomial coefficient, different operator, different draw days, different extras, different jackpot culture, cheaper default stake. Articles that say Dutch and Austrian Lotto are “the same odds” are right about the jackpot wall and wrong about the product. Launch trivia from 1986 is branding, not a luck charm; marketing changes have not touched six-from-forty-five.

Hypergeometric ranks copy the Dutch identities because the urn is the same: five mains 234/8,145,060 ≈ 1 in 34,808; four mains 11,115/8,145,060; three mains 182,780/8,145,060. Eight lines at 1.20 euros against a three-million jackpot: chance 1−(1−p)^8 ≈ 9.82×10^−7, expected value 8×(3,000,000/8,145,060 − 1.20) ≈ 8×(−0.832) ≈ −6.65 euros.

Independent tickets on one Wednesday or one Sunday give 1−(1−p)^n. Two lines a week are two independent p's if they sit on two draws, or n = 2 if both lines share one draw. Do not confuse those. A habit is not a single experiment.

Expected jackpot value is n×(J/8,145,060 − 1.20). Jackpot-only breakeven is 1.20×8,145,060 = 9,774,072 euros advertised, ignoring splits and lower ranks. One million over 8.15 million is about 12.3 cents against 1.20 euros, so about −1.077 per line — a smaller hole than a two-euro Dutch line against the same p, which is arithmetic, not a reason to treat 6aus45 as an investment. Austrian rollovers almost never live at 9.77 million unshared. Extra Sunday lines are a larger expected loss, not a repair. Keep Joker out. Keep 1986. Keep 8,145,060.