Canada Lotto Max: Official Guide, Rules, Odds & How to Play
Odds to win Canada Lotto Max jackpot
| Winning selections | Odds (playing single line) * | Odds (playing 3 lines) | Prize |
|---|---|---|---|
| Match 7 numbers | 1 in 99,884,400 | 1 in 33,294,800 | Jackpot Win or share of 87.25% of Pools Fund |
| Match 6 + bonus number | 1 in 14,269,200 | 1 in 4,756,400 | Share of 2.5% of Pools Fund |
| Match 6 numbers | 1 in 339,744 | 1 in 113,248 | Share of 2.5% of Pools Fund |
| Match 5 + bonus number | 1 in 113,247 | 1 in 37,749 | Share of 1.5% of Pools Fund |
| Match 5 numbers | 1 in 5,523 | 1 in 1,841 | Share of 3.5% of Pools Fund |
| Match 4 + bonus number | 1 in 3,315 | 1 in 1,105 | Share of 2.75% of Pools Fund |
| Match 4 numbers | 1 in 248.7 | 1 in 82.9 | C$20.00 |
| Match 3 + bonus number | 1 in 248.7 | 1 in 82.9 | C$20.00 |
| Match 3 numbers | 1 in 25.5 | 1 in 8.5 | Free Play (worth C$5.00) |
* Odds on the official site are calculated by playing 3 lines which is the minimum to buy. However, the real odds are 3 times higher by playing only single line.
Overall odds of winning any prize per C$5 play are 1 in 7.
Canada Lotto Max drawings are held Tuesday and Friday at 11:30 pm ET. Tickets cost C$1.66 per play. Players may pick seven numbers from one pool of numbers from 1 to 50. You win the jackpot by matching all seven winning numbers in a drawing. The jackpots start at C$10 million and is capped at $70 million. After the jackpot reaches at least C$50 million, additional drawings are held for auxiliary "MaxMillions" prizes of C$1 million each.
Winning VS Losing Combinations
Did you know that after each Lotto Max draw, there will be exactly:
Winning Combinations: 4,762,200 (4.8%)
Losing Combinations: 95,122,200 (95.2%)
Winning Probability Calculations
In the Canada Lotto Max lottery, you have to pick 7 numbers from 1 to 50. To win the smallest prize, you need to match at least 3 main numbers. The number of combinations that will always win any prize after each draw is calculated as follows:
Total Number of Combinations
The total number of ways to choose 7 main numbers from 50 is given by:
\( \binom{50}{7} = \frac{50!}{7!(50-7)!} = 99,884,400 \)
Winning Combinations
To find out how many combinations win any prize, we calculate the number of ways to match at least 3 main numbers:
Matching Exactly 3 Main Numbers
The number of ways to match exactly 3 main numbers out of the 7 drawn is:
\( \binom{7}{3} \times \binom{43}{4} = 4,312,500 \)
Matching Exactly 4 Main Numbers
The number of ways to match exactly 4 main numbers out of the 7 drawn is:
\( \binom{7}{4} \times \binom{43}{3} = 431,435 \)
Matching Exactly 5 Main Numbers
The number of ways to match exactly 5 main numbers out of the 7 drawn is:
\( \binom{7}{5} \times \binom{43}{2} = 18,963 \)
Matching Exactly 6 Main Numbers
The number of ways to match exactly 6 main numbers out of the 7 drawn is:
\( \binom{7}{6} \times \binom{43}{1} = 301 \)
Matching All 7 Main Numbers
The number of ways to match all 7 main numbers is:
\( \binom{7}{7} = 1 \)
Total Winning Combinations
Summing up all these winning combinations:
\( 4,312,500 + 431,435 + 18,963 + 301 + 1 = 4,762,200 \)
Non-Winning Combinations
The number of non-winning combinations is given by:
\( \text{Total Combinations} - \text{Winning Combinations} = 99,884,400 - 4,762,200 = 95,122,200 \)
Conclusion
Therefore, there are 4,762,200 combinations that will always win any prize after each draw in the Canada Lotto Max lottery.
May 2019 format/price point change
In May 14, 2019, the game introduced major changes, including adding a Tuesday drawing, a larger jackpot cap, a 50-number field, and two additional prize tiers.
(Source: Wikipedia)
How to win Canada Lotto Max
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