Daily Grand Odds Calculator

Daily Grand is Canada’s 5-from-49 plus Grand Number from 1 to 7 product: $3 a line, Monday and Thursday, top prize advertised as $1,000 a day for life. Set Tickets to the number of complete lines (five mains + Grand Number) for one draw. Do not enter 6/49 or Max lines here.

Price defaults to 3. Jackpot defaults to a cash-value stand-in around 7.3 million dollars because “$1,000 a day for life” is an annuity-style headline, not a single cheque the engine can parse. If you want EV in cash-equivalent terms, put your own present-value estimate in Jackpot (many players use a lump-sum alternative when offered, or a crude 20-year × $365,000 style number). If you want to pretend the advertised lifetime stream is $7.3M, leave the default. Keep Price and Jackpot in the same currency, CAD.

Main Matches is the 5/49 part. Bonus Matches is the Grand Number (1–7): set 1 for the full top-prize path, 0 for a main-board prize that does not need the Grand Number. Full modelled jackpot is 5/49 × 1/7.

Read Jackpot Odds as 1 in C(49,5) × 7 = 13,348,188. That is closer to 6/49 than to Max. Chance and EV follow the usual engine. The life-changing wording is marketing around an annuity; the combination wall is still eight digits.

Annuity hygiene first. Tickets = complete Daily Grand lines (five mains plus Grand Number) for Monday or Thursday. Price = 3. Jackpot should be a cash number you believe: default ~7.3 million, or a cash-option quote, or 25 × 365,000 if you insist on a crude “25 years of $1,000 a day” present-value hack (that hack ignores discounting and mortality). Main Matches = 5 and Bonus Matches = 1 is the top-prize path. Bonus Matches = 0 prices a 5/49 hit with the wrong Grand Number. Do not paste a 6/49 jackpot. Do not set Tickets from a Max syndicate count. Read Chance as 1 − (1 − 1/13,348,188)^n, then look at EV with your chosen cash Jackpot.

Daily Grand launched in 2016 as a Canadian Interprovincial game positioned between 6/49 and Lotto Max: cheaper emotional pitch than Max, different prize fantasy than 6/49. You choose five numbers from 1 to 49 and a Grand Number from 1 to 7. Draws are Monday and Thursday. The line is $3. The top prize is $1,000 a day for life, with cash-option mechanics that vary by rules in force; this calculator does not simulate mortality tables. It treats Jackpot as a number you supply, defaulting to about $7.3 million as a lump-sum-ish placeholder comparable to other “for life” tools on this site.

The Grand Number pool is only 7, which is a milder multiplier than Swiss Lotto’s 1/6 on a smaller main matrix, and much milder than Powerball’s 1/26. Main combination C(49,5) = 1,906,884 is the five-number hit; times 7 is 13,348,188 for the full top prize. That is accidentally close to 6/49’s 13.98 million, which is why people say Daily Grand is “about as hard as 6/49 but you get a thousand a day.” Combinatorially the jackpot odds are in the same band; the prize is a different shape.

Operators are the same provincial partners as 6/49 and Max. Do not play Daily Grand numbers on a 6/49 slip. Five-number tickets are not six-number tickets. Monday/Thursday is not Wednesday/Saturday.

Use this page to put a probability on the Grand Number game, to vary Tickets, and to force yourself to pick a cash Jackpot number instead of treating “for life” as infinite EV. Infinite EV is not a thing the engine will print.

2016 positioning was marketing: a “for life” story on a milder bonus pool than Max’s 7/50 wall. Interprovincial partners still run the game Monday and Thursday at $3. The Grand Number 1–7 is why full odds sit near 13.3 million, accidentally neighborly with 6/49’s 13.98 million, which invites the false slogan that Daily Grand is “the same odds with a better prize.” Same-band jackpot odds, different prize shape, different draw days, different ticket. Cash-option rules change; this calculator will not track them. Your job is to pick a Jackpot cash stand-in so EV is not “infinity because it is for life.”

The top prize of Daily Grand is calculated as a two-drum product: five unordered mains from forty-nine, times one Grand Number from a pool of seven. Pascal's binomial coefficient on the main barrel is C(49,5) = 49 × 48 × 47 × 46 × 45 / 120 = 1,906,884. The Grand Number contributes a factor of seven. Full jackpot probability is therefore 1 / (1,906,884 × 7) = 1 / 13,348,188, about 7.49 × 10^−8, or one in 13,348,188. Matching five mains with the wrong Grand Number is six-sevenths of that main-only hit and is not the advertised $1,000-a-day prize. Monday and Thursday are the draw nights; this identity does not describe Wednesday 6/49 or Tuesday Max.

Hypergeometric scores on the five mains use P(exactly m) = C(5,m) × C(44, 5−m) / 1,906,884, then multiply by 1/7 or 6/7 according to whether the Grand Number is required. Matching four mains is 5 × 44 / 1,906,884 = 220 / 1,906,884, about one in 8,668 before the Grand Number coin. Matching three mains is 10 × 946 / 1,906,884 = 9,460 / 1,906,884, about one in 202 on the main barrel. Those cells become This-prize odds only after the 1/7 or 6/7 factor is attached. They are not a loophole that turns an annuity headline into a frequent cheque.

Several independent complete lines — five mains plus a Grand Number — give at-least-once chance 1 − (1 − p)^n with p = 1/13,348,188. Ten lines sit near 7.49 × 10^−7, coincidentally the same order of magnitude as ten Lotto 6/49 lines, which is why pub talk calls Daily Grand “about as hard as 6/49.” Combinatorially the jackpot odds live in the same band; the prize is a different shape.

Expectation needs a cash number because “$1,000 a day for life” is an annuity-style headline, not a single cheque. Default modelling stake is three dollars. A cash stand-in around $7.3 million is the usual lump-sum-ish placeholder: 7,300,000 / 13,348,188 − 3 ≈ 0.547 − 3 = −$2.453 per line. Jackpot-only cash breakeven is 3 × 13,348,188 = $40,044,564. Crude present-value sketches such as twenty years times $365,000 ignore discounting and mortality and still land well below that breakeven. Infinite expected value is not a legitimate substitution for a lifetime stream. Ten three-dollar lines against the $7.3 million placeholder therefore have expected value about −$24.53.

Assumptions: uniform five-subsets, independent Grand Number from one through seven, independent tickets, one top-prize winner, cash jackpot supplied by the reader, no mortality table, no cash-option schedule baked in, and Canadian dollars. Lotto Max remains 7/50. Lotto 6/49 remains 6/49. Pasting either product's advertised pool into this annuity calculation is a category error.