Dutch Lotto Odds Calculator

This Dutch Lotto odds calculator models Nederlandse Loterij’s Lotto: six numbers from 1 to 45, typically €2 a line, Saturday draw. It is not Staatsloterij. Set Tickets to the number of 6/45 combinations you will play this Saturday. A system coupon that explodes into many combinations should be entered as that many Tickets. Subscriptions across several Saturdays are several independent draws; this tool is one draw unless you deliberately interpret Tickets as a crude multi-draw stand-in.

Price defaults to 2. If your slip includes Lucky Day or other add-ons, either strip them out for a clean Lotto EV or accept that you are blending products. Jackpot is the advertised Lotto jackpot in euros. Dutch Lotto jackpots are not Eurojackpot; paste the Lotto figure from Nederlandse Loterij, not the Friday Eurojackpot banner. EV uses only the 6/45 top prize.

Main Matches defaults to 6. Lower it to study exact-k hits on the six drawn numbers. There is no Bonus Matches field. Some historical or parallel Dutch formats have used a bonus ball for lower tiers; this engine instance is a pure 6/45 jackpot model. Matching six of six is the jackpot event in the model. If you need bonus-ball splits, this page will not invent a bonusPool that the calculator definition does not have.

Read Jackpot Odds (1 in C(45,6)), This Prize Odds for your match setting, Jackpot Chance for n tickets, and Jackpot EV. C(45,6) is 8,145,060, friendlier than 6/49 and harsher than Swiss 6/42. Use that fact when you compare a Saturday Lotto line to a Staatsloterij ticket in your head: different game, different math, different prize philosophy. Staatsloterij is a number-ticket lottery, not a 6/45 combination lottery. Keep this calculator on Lotto.

A practical Saturday pass: enter Tickets = 12 if you marked two full grids of six lines, keep Price = 2, paste this week’s Nederlandse Loterij Lotto jackpot, leave Main Matches at 6 for the top prize, then drop Main Matches to 4 only when you want the exact-four odds printed beside the jackpot line. Ignore Lucky Day, Eurojackpot Friday banners, and Staatsloterij ticket numbers. If a clerk bundled products, split the slip mentally so this calculator sees only 6/45 Lotto cash. The Chance figure will still look depressing; that is the 8.15 million combination wall talking, not a UI bug.

Nederlandse Loterij Lotto is the Dutch combination lottery: 6 from 45, Saturday, about €2 per line. It sits in a product family that also includes Eurojackpot and other games under the same operator umbrella, which is exactly why people mix them up. Eurojackpot is Friday, 5/50 plus two Euro numbers from 12. Lotto is Saturday 6/45. Staatsloterij is a different institution and a different product: you buy a ticket number, not six balls from 45. If you came here from a Staatsloterij result page, you are in the wrong calculator.

The 6/45 matrix is the interesting part. C(45,6) = 8,145,060, so a Dutch Lotto jackpot is combinatorially easier than Polish or Canadian 6/49 (13.98 million) and harder than Swiss Lotto’s 6/42 main matrix (5.25 million before the Lucky Number). Price at €2 is higher than Vikinglotto’s typical euro but in the same retail band as Irish Lotto. Jackpots are advertised in euros and can roll; they are not Mega Millions.

Bonus balls have appeared in Dutch prize-table storytelling and in some format generations. This SorteCalc model does not take Bonus Matches because the game definition is pool 45, drawn 6, no bonusPool. The jackpot path is six correct main numbers. Lower tiers in the live game may use extra balls or different match rules; Main Matches here is exact-k on the six, nothing else.

Use the page to price a Saturday slip, to compare ten lines versus one, and to stop treating Staatsloterij luck as Lotto luck. Nederlandse Loterij’s Lotto is a hypergeometric 6/45. That sentence is the whole product identity this calculator exists to enforce.

Retail confusion in the Netherlands is structural. The same shop window can show Lotto, Eurojackpot, Staatsloterij, and scratch cards. Players then Google “nederlandse lotto odds” and land on Staatsloterij class-lottery explainers or Friday Eurojackpot math. Bookmark this page for Saturday 6/45 only. Format history with bonus balls is a prize-table footnote; it does not add a Bonus Matches box here. If Nederlandse Loterij restyles lower tiers next year, jackpot combinatorics stay C(45,6) until they change how many balls are drawn from how large a pool.

Nederlandse Loterij Lotto is Saturday 6/45, combinatorially the same jackpot count as Austrian 6aus45 and nothing like Staatsloterij. Jackpot probability is 1/C(45,6). C(45,6) = 45×44×43×42×41×40 / 720 = 8,145,060, so p = 1/8,145,060. Staatsloterij sells numbered class-lottery tickets, not six balls from forty-five. Eurojackpot, also in the shop window, is Friday 5/50 plus two from twelve. Mixing those products into one “Dutch lottery odds” sentence is how 8.15 million becomes 139 million or a raffle. Typical stake is two euros. Some format generations used a bonus ball for lower tiers; the jackpot event in this model is six mains, no 1/C(b,r) factor.

Falling product: 45×44 = 1,980; times 43 = 85,140; times 42 = 3,575,880; times 41 = 146,611,080; times 40 = 5,864,443,200; divide by 720. Result 8,145,060. Relative to 6/49's 13.98 million this is friendlier; relative to Swiss 6/42 mains before the Lucky Number (5.25 million) it is harsher. Price at two euros sits in the Irish band, heavier than Vikinglotto's typical euro.

Hypergeometric exact m: C(6,m)×C(39,6−m)/8,145,060. Five mains: 6×39 = 234, about 1 in 34,808. Four mains: 15×741 = 11,115, about 1 in 733. Three mains: 20×9,139 = 182,780, about 1 in 44.6. Five two-euro lines against a four-million advertised jackpot: chance ≈ 6.14×10^−7, expected value 5×(4,000,000/8,145,060 − 2) ≈ 5×(−1.509) ≈ −7.54 euros.

Independent Saturday combinations give 1−(1−p)^n. Ten lines ≈ 1.23×10^−6. One hundred ≈ 1.23×10^−5. A full wheel at two euros costs about 16.29 million euros. Subscriptions across several Saturdays are several independent draws; stacking them into one n is a back-of-envelope only.

Expected jackpot value is n×(J/8,145,060 − 2). Jackpot-only breakeven is 2×8,145,060 = 16,290,120 euros advertised, ignoring splits and lower prizes. Two and a half million over 8.15 million is about 30.7 cents against two euros, so about −1.693 per line. Ten lines ≈ −16.93. Staatsloterij expected value is a different experiment entirely. Keep Saturday, keep forty-five, keep six, keep the Friday Eurojackpot banner off this denominator.