Calculate Lotto 6/49 main-draw combinations, ticket probability and an illustrative jackpot-only expected value.
Lotto 6/49 probability inputs
tickets
%
YOUR RESULTS
Published matrix6/49
Jackpot combinations1 in 13,983,816
Single-ticket jackpot probability0.000007151%
Chance of at least one jackpot across tickets0.000007151%
Total ticket costCA$3.00
Illustrative jackpot-only expected valueCA$0.58
Cash value shown before taxCA$50,000,000.00
Probability calculation only. The jackpot-only expected value excludes lower-tier prizes, split jackpots, taxes, ticket rules, local availability, annuity terms and changing prize pools. Lottery games are games of chance; do not treat this as financial advice.
HOW THIS RESULT WAS BUILTDeterministic calculationEngine calculator-core-1.0.0
Method: Jackpot combinations equal the number of ways to choose the main numbers multiplied by the separate bonus-number pool where applicable. The multi-ticket chance is one minus the probability that every ticket misses.
Inputs used: Currency = CAD; Tickets or plays = 1 tickets; Cost per ticket = 3; Illustrative advertised jackpot = 100,000,000; Illustrative cash-value percentage = 50 %
Assumptions: The result uses the values, units and options shown in the input snapshot.
Scope and warnings: Probability calculation only. The jackpot-only expected value excludes lower-tier prizes, split jackpots, taxes, ticket rules, local availability, annuity terms and changing prize pools. Lottery games are games of chance; do not treat this as financial advice. Rounding and excluded real-world terms can make an external result differ.
Official OLG Lotto 6/49 game conditions · As stated by the source · effective As published · reviewed 2026-09-12
medium confidence · Deterministic calculation
Linked as a method or contextual reference; calculator inputs remain visible and editable where applicable.
Exclusions: Source applicability and any jurisdictional limits remain those stated by the publisher.
UNDERSTAND THE RESULT
How this lotto 6/49 probability calculator works
Jackpot combinations equal the number of ways to choose the main numbers multiplied by the separate bonus-number pool where applicable. The multi-ticket chance is one minus the probability that every ticket misses.
A worked example
For a 5/69 plus 1/26 matrix, jackpot combinations are C(69,5) × 26, producing odds around 1 in 292.2 million.
Can choosing certain numbers improve the chance of a jackpot?
No. Every valid combination has the same draw probability. Number choice can affect whether a prize is shared, but it does not change the probability of matching the draw.