Lotto Max Odds Calculator

Lotto Max is Canada’s 7-from-50 game: pick seven numbers, $5 a line, draws Tuesday and Friday. Set Tickets to the number of 7-number combinations, not the number of “plays” in a marketing bundle unless each play is a real 7/50 line. Maxmillions extra $1 million prizes, when the jackpot is capped and extra million-dollar draws are added, are not additional Tickets and not this Jackpot field unless you are doing a hacky all-in cash estimate you should not trust.

Price defaults to 5. Keep Jackpot in CAD. Jackpot is the advertised Max jackpot, which can be very large by Canadian standards and is a different animal from 6/49’s pot. When Maxmillions are in play, the official prize story is more than one top-ish prize; this EV still uses the single Jackpot number you enter times the 7/50 p. That under-credits Maxmillions on purpose if you only paste the main jackpot, and it over-credits if you paste a fantasy sum of every Maxmillion.

Main Matches defaults to 7. There is no Bonus Matches field: Max jackpot in this model is seven of seven from 50. The live prize table has many lower ranks (6+bonus stories in some Max prize tables). This tool’s Main Matches is exact-k on the seven main numbers against a 7/50 draw. Do not treat it as 6/49.

Read Jackpot Odds as 1 in C(50,7) = 99,884,400. That is the point of the page. Chance with a handful of $5 tickets is microscopic. EV is vicious unless the jackpot is absurd relative to $5 × 99.9 million. Use the calculator to stop comparing Max to 6/49 as if they were similar.

Treat Maxmillions as a footnote, not a field. Enter Tickets as 7/50 lines for Tuesday or Friday. Price = 5. Jackpot = the main advertised Max jackpot in CAD. Leave Main Matches at 7 unless you are inspecting exact-six or exact-five on the seven-number ticket. Do not add one Ticket per Maxmillions prize, and do not type $1,000,000 into Jackpot because extra millions exist. If your syndicate has 40 lines, Tickets = 40. If you also bought 6/49 on Wednesday, that cash does not belong in Price here. Re-run after the cap-and-Maxmillions press release only if you want a new main-jackpot EV, not a full official prize-table reconstruction.

Lotto Max launched in 2009, replacing Super 7. It is the Interprovincial large-jackpot companion to Lotto 6/49: seven numbers from 1 to 50, $5 per line, Tuesday and Friday. Operators are the same Canadian provincial partners (OLG, BCLC, and the rest). The combination count C(50,7) = 99,884,400 is roughly seven times 6/49’s 13.98 million, which is why Max can advertise jackpots that 6/49 never will and why a $5 ticket is not “only two dollars more” in any probabilistic sense.

When the Max jackpot hits its cap, extra Maxmillions drawings can add additional $1 million prizes. That is a prize-table overflow mechanism, not a change to C(50,7). Your seven-number line still has a 1-in-99,884,400 shot at the main jackpot combination. Extra million-dollar combinations, when they exist, are additional winning patterns published for that draw—nice if you hit one, still not a reason to model Max as a 6/49-like easy game.

Do not confuse Max with Daily Grand (5/49 + Grand Number, $1,000 a day for life) or with 6/49. Three products, three matrices. Super 7 nostalgia does not apply: Super 7 is gone; Max is 7/50.

This calculator is jackpot-odds and jackpot-EV first. It will not reconstruct every Maxmillions scenario. Enter Tickets, $5 Price, the advertised main Jackpot, and Main Matches for lower exact-k views. If Maxmillions are active, remember that Jackpot EV on this page is not a full official expected-value sheet.

Super 7 nostalgia still pollutes search results. Super 7 is retired; Lotto Max is 7/50 at $5 with Tuesday/Friday draws and a combination count just under 100 million. Maxmillions is overflow when the main jackpot is capped: extra $1 million winning combinations for that draw, not a rewrite of C(50,7). Comparing “Max feels like Powerball” is also sloppy: Powerball is 5/69 + 1/26. Max is seven mains from fifty and no bonus pool in this model. Use OLG or BCLC copy for Maxmillions rules, and use this page for the 99,884,400 wall and the $5 stake’s EV hole.

The jackpot of Lotto Max is calculated from a seven-from-fifty combination, not from Canada's older six-from-forty-nine game, and that single change of matrix is why the odds look an order of magnitude harsher. Combinations remain unordered: C(50,7) equals 50 factorial divided by 7 factorial times 43 factorial. The falling product 50 × 49 × 48 × 47 × 46 × 45 × 44 divided by 5,040 equals 99,884,400. Therefore a Tuesday or Friday line wins Division 1 with probability 1 / 99,884,400, about 1.001 × 10^−8, or one in 99,884,400. Super 7, the retired predecessor, is gone; this lecture uses the 2009 Max barrel only. No Powerball-style extra drum multiplies the seven-of-seven identity on this page.

Hypergeometric overlap with seven draws from fifty and a seven-spot ticket is P(exactly m) = C(7,m) × C(43, 7−m) / 99,884,400. Matching six is 7 × 43 / 99,884,400 = 301 / 99,884,400, about one in 331,842. Matching five is 21 × 903 / 99,884,400 = 18,963 / 99,884,400, about one in 5,267. Matching four is 35 × 12,341 / 99,884,400 = 431,935 / 99,884,400, about one in 231. Live prize tables that further split some of those ranks with a bonus ball are a refinement this jackpot lecture does not attach. Maxmillions extra million-dollar combinations, when the main jackpot is capped, are additional published winning patterns for that draw; they do not rewrite C(50,7).

Independent tickets again give at-least-once probability 1 − (1 − p)^n. Ten five-dollar lines sit near 1.00 × 10^−7. One hundred lines sit near 1.00 × 10^−6. You are not denting 99.9 million combinations with a supermarket strip. Covering the matrix at five dollars each would cost about $499.4 million before split risk.

Expectation is ticket count times (jackpot times p minus stake). Default stake five dollars and default advertised jackpot fifty million yield 50,000,000 / 99,884,400 − 5 ≈ 0.501 − 5 = −$4.499 per line. Ten lines scale to about −$45. Jackpot-only breakeven, one winner, no Maxmillions credit, is 5 × 99,884,400 = $499,422,000. A worked book of twenty five-dollar lines against a seventy-million jackpot has chance ≈ 2.00 × 10^−7 and expected value 20 × (70,000,000 / 99,884,400 − 5) ≈ −$86. Even a two-hundred-million headline still has jackpot-only expected value 200,000,000 / 99,884,400 − 5 ≈ −$3.00 per line before extra million-dollar prizes.

Assumptions: uniform seven-subsets of fifty, independent lines, one main-jackpot winner, Canadian dollars, five-dollar stake, and Maxmillions left out of the prize term unless you deliberately raise the jackpot input to include them, which is a messy mix of products. Daily Grand and Lotto 6/49 are different matrices on different nights. Comparing Max to United States Powerball is also sloppy: that game is five from sixty-nine plus one from twenty-six, not seven from fifty.