Danish Lotto Odds Calculator

Danish Lotto here is Danske Spil's 7/36 jackpot without a bonus pool in the model. Default Ticket Price is 0.80 (about 8 DKK), default Jackpot 8,000,000. Draws are Wednesday and Saturday. Tickets is independent 7-number lines on one of those draws. Vikinglotto is a companion Nordic game Danske Spil also sells (6/48 plus a Viking number); do not put Vikinglotto combinations in this Tickets field. Real Danish Lotto prize tables use tillægstal (bonus numbers) for some rungs; this calculator's jackpot is seven mains, C(36,7), no bonus multiplier.

Tickets: one line is one 7-subset of 36. Ten lines are ten. p = 1/C(36,7) = 1/8,347,680. That is the friendliest jackpot denominator in this nine-game batch, which is why a default 8 million prize against 8.35 million combinations can print a slightly positive jackpot-only EV — an artefact of treating an unshared 8 million as cash against an 0.80 stake, not a proof that Danske Spil is giving money away. 1−(1−p)^n at n=10 is about 10/8.35 million.

Ticket Price 0.80 euros stands in for about 8 DKK. If you think in kroner, set Price to 8 and Jackpot to the kroner advertisement so the units match. Mixing 8 DKK of stake with 8 million euros of jackpot is how you invent a false +EV. Keep one currency.

Jackpot 8,000,000 is a round working pool, not every Wednesday's figure. Danish jackpots rollover inside a small combination space, so they do not need American-style billions to look large relative to p. Paste Danske Spil's advertised million (in the same currency as Price). Co-winners split; this EV formula does not.

Main Matches 0–7. No Bonus Matches. k=7 is the jackpot. k=6 and k=5 are the dense serious rungs on a 7/36. Tillægstal in the official table would condition some prizes on extra balls drawn after the seven; this model ignores them so the jackpot is a pure C(36,7). If you want bonus-pool odds, this is the wrong Danske Spil product page — look at Vikinglotto's calculator instead.

Outputs: Jackpot Odds 1 in 8,347,680, This Prize Odds for k, chances, EV, Expected Jackpot Return. At 8 million and 0.80 in matching units, jackpot × p ≈ 0.958, EV ≈ +0.158 jackpot-only per ticket. Read that as a warning about defaults, then cut Jackpot to a typical starting pool or add a winners split, and watch the plus sign die. Lower prizes exist; so does Danske Spil's take; so does Vikinglotto sitting on the same slip.

Dansk Lotto is Danske Spil's Wednesday and Saturday domestic lottery: seven numbers from 36. The small pool is the identity. C(36,7) = 8,347,680, so a jackpot is in the 1-in-8.35-million class, closer to a fat regional game than to SuperEnalotto or even German 6aus49 plus Superzahl. Stake is on the order of 8 DKK (this engine's 0.80 euro default). Vikinglotto, the Nordic transnational product Danske Spil retails beside Lotto, is 6/48 plus a Viking number from 1–5; different polynomial, different jackpot culture, overlapping draw nights. Danish players often hold both. This page is 7/36 only.

Bonus numbers exist in the real prize table. Danske Spil draws extra tillægstal used for 6+bonus style classes. This SorteCalc model does not attach a bonusPool. Jackpot odds are 1/C(36,7), not a product with a second combination. That is a modelling choice aligned with how the generic lottery engine treats games without bonusPool in the registry. If an official PDF says the top prize also needs a bonus ball, it is describing a different event than this calculator's Jackpot Odds line. Treat this page as seven-correct-mains probability plus hypergeometric partials.

Danske Spil is the state-anchored operator, the same family as Oddset sports and other Danish games, with the usual Nordic responsible-gambling frame and a monopoly story that has had to live next to EU pressure. None of that changes C(36,7). History is a 7/36 product rather than a 6/49 import: Denmark did not copy German Lotto's grid. Seven from 36 is a distinctive Scandinavian-style dense lottery — more numbers drawn from a smaller drum — so k=7 is hard enough to be a jackpot and k=5 is still a serious combinatorial event (thousands, not millions, to one).

Compared with Totoloto 5/49+13 (24.8 million) or French Loto 5/49+10 (19.1 million), Danish Lotto's 8.35 million is the easy end of this file. Compared with Bonoloto's 14.0 million it is still easier, and you draw two nights a week rather than six. Frequency plus a small denominator is how a modest kroner jackpot stays interesting. It is also how a naive EV at an 8 million default can look positive: 8e6/8.35e6 > 0.80. Real advertised starting jackpots, splitting, tax, and the omitted tillægstal classes need to be in the conversation before anyone calls Lotto +EV.

Use the calculator to see 7/36 hypergeometric mass, to keep Vikinglotto out of the ticket count, and to force currency consistency between 8 DKK and millions of kroner. Set Main Matches to 5 for C(7,5)×C(29,2)/C(36,7). Set Tickets to a club's weekly bundle. Do not treat a green Jackpot EV at defaults as a Danish secret; treat it as the engine doing arithmetic on generous unshared assumptions.

Danish Lotto under Danske Spil draws seven numbers from thirty-six, a matrix that looks exotic only if your intuition was trained on 6/49. Jackpot probability in this model is 1/C(36,7) with no second pool. Compute 36×35×34×33×32×31×30 / 7! and 7! = 5,040. Stepwise: 36×35 = 1,260; times 34 = 42,840; times 33 = 1,413,720; times 32 = 45,239,040; times 31 = 1,402,410,240; times 30 = 42,072,307,200; divide by 5,040 to obtain 8,347,680. So p = 1/8,347,680. Seven hits from a smaller drum is the Scandinavian-style dense lottery: k = 7 is still a jackpot, yet mid ranks fire more often than on a 90-ball grid. Official tables also use tillægstal, extra balls after the seven, for some 6-plus-bonus classes. Those extras are omitted here; the jackpot event is seven mains.

Contrast with classic 6/49 is the pedagogical point. C(49,6) = 13,983,816, almost 1.7 times this 7/36 wall, even though you mark one more number, because thirty-six is a much smaller urn. Vikinglotto, which Danske Spil also retails, is 6/48 plus a Vikingtal from 1–5, denominator 61,357,560. Reusing Danish Lotto's 8.35 million on a Vikinglotto slip is the wrong polynomial.

Hypergeometric exact k is C(7,k)×C(29,7−k)/C(36,7). Six mains: 7×29 = 203, about 1 in 41,122. Five mains: 21×406 = 8,526, about 1 in 979. Four mains: 35×3,654 = 127,890, about 1 in 65.3. Those k = 5 and k = 4 rates are why a 7/36 table can feel “hot” next to SuperEnalotto. Tillægstal would peel some k = 6 mass into a bonus class; this lecture does not.

Independent Wednesday or Saturday lines give 1−(1−p)^n. Ten lucky dips have expected jackpot count about 1.20×10^−6. A full cover at 0.80 euros (about 8 DKK) costs roughly 6.68 million euros of stake for expected one unshared 8 million jackpot plus every lower k in bulk — closer to a thinkable thought experiment than covering 6/90, still not how a club should budget.

Expected jackpot value is n×(J/8,347,680 − price). Defaults of 8 million against 0.80 in matching units print 8,000,000/8,347,680 − 0.80 ≈ +0.158 per line. That plus sign is a teaching artefact: it assumes an unshared 8 million in the same currency as 0.80, ignores splits, and treats 8 million as actually on offer. Three million DKK against an 8 DKK stake is 3,000,000/8,347,680 − 8 ≈ −7.64 DKK. Units and starting pools kill the plus. Keep seven, thirty-six, 8,347,680, and a suspicious eye on any green expectation at generous unshared defaults.