Double chance vs 1X2 in jackpots: the probability, leg by leg

A 1X2 leg has three possible results, so each leg added to a slip multiplies the combinations by three. A leg with only two possible outcomes multiplies them by two. Over 13, 15 or 17 games that small difference grows into a gap of hundreds of times, as the tables below show.

The counting method behind every figure here is the product rule, set out step by step in jackpot combinations and probability explained. This page applies it to one question: what changes when a leg offers two outcomes instead of three.

What exactly is being compared?

On a 1X2 leg, "1" is a home win, "X" a draw and "2" an away win. A standard jackpot asks for one of the three on every leg, and the symbols are explained in what 1X2 means on a betting slip.

Double chance is a different idea. A double chance selection covers two of the three results of one match: 1X (home or draw), X2 (draw or away) or 12 (home or away). The match still has three possible results; the selection simply wins on two of them.

That gives three cases. One is a single pick on a three-way leg, and another is a leg that can only end in one of two ways. The third is a double chance cover on a three-way leg.

How do 2 to the power n and 3 to the power n compare?

Combinations multiply leg by leg. With three outcomes per leg, n legs give 3 multiplied by itself n times, written 3ⁿ. With two outcomes per leg they give 2ⁿ.

Both numbers grow fast, but 3ⁿ grows faster. The ratio between them is 1.5ⁿ, so the gap widens with every leg you add.

Two rows stand out. Thirteen three-way legs give 1,594,323 combinations, while thirteen two-outcome legs give 8,192. Even 17 two-outcome legs, at 131,072, give fewer combinations than 11 three-way legs at 177,147.

What is the chance of one line winning in each format?

If every combination were equally likely, one line would win with a chance of 1 divided by the number of combinations. Real matches are not equally likely, so read these figures as a baseline, not a forecast. The fourth column assumes every leg of a three-way slip is covered with double chance.

The fourth column hides a cost. On a 1X2 jackpot, covering two outcomes on one leg is the same as entering two lines that differ only on that leg. Covering all n legs that way takes 2ⁿ lines, so the 1 in 195 on 13 legs needs 8,192 entries.

Illustrative example: adding double chance cover to a 13 game slip

Illustrative example: assume each line costs KES 20, the minimum amount a player may bet online under section 71(1) of the Gambling Control Act, 2025. The real price per line is set in the rules of each jackpot. Each leg you cover with two outcomes doubles both the number of lines and the cost.

The pattern does not change down the table. At the random baseline, each doubling of lines doubles the chance and doubles the cost, so the chance bought per shilling stays the same. Double chance cover buys more lines; it does not make any single line better.

What changes when one team is the favourite?

Real matches have unequal chances. The implied probability of decimal odds is 1 divided by the odds, so odds of 2.00 imply 50%. Bookmaker odds also carry a margin. Illustrative example: odds of 2.10, 3.40 and 3.60 on one match imply chances that add up to about 104.81%, a margin of 4.81%.

Illustrative example: take a leg where the true chances are 55% home, 25% draw and 20% away. These figures are invented for the arithmetic and describe no real match. A single pick on the home side is right 55% of the time, and double chance 1X is right 80% of the time.

For a whole slip, multiply the leg chances together. The table assumes, for simplicity, that every leg looks the same.

The double chance row looks far better, but on a three-way jackpot it still needs 8,192 lines for 13 legs and 131,072 lines for 17. The gain comes from paying for more lines, not from knowing more about the matches. Real slips also mix close matches with clear favourites, which pulls these figures down.

Why do some jackpots use fewer outcomes per leg?

Whoever designs a jackpot has two levers on how often the top prize is won: the number of legs and the number of outcomes per leg. Moving from three outcomes to two divides the combinations by 194.6 on 13 legs and by 985.3 on 17 legs. A top-prize winner becomes far more likely in any given round.

Regulation 80(3) of the Gambling Control (Conduct of Gambling Operations) Regulations, 2026 (L.N. 112) deals with a prize that goes unwon for a long time. A jackpot not won for more than twenty-four months shall be cascaded to lower combinations until it is won. A format with fewer combinations is less likely to stay unwon that long.

The trade-off is the size of the prize, covered in the next section. Whether a jackpot asks for two or three outcomes per leg is part of its terms, which regulation 80(1)(d) sends to the Authority for approval.

What do fewer outcomes do to the prize?

Section 2 of the Act says a jackpot is payable either from a fixed prize schedule or from a special prize pool that accumulates as contributions are made. The number of outcomes per leg affects each kind in a different way.

With a pool, more winners share the same money. Illustrative example: suppose 1,000,000 lines are entered at random on a 13-leg slip and the pool is KES 10,000,000. With three outcomes per leg the expected number of winners is about 0.63, so in most such rounds nobody wins.

With two outcomes per leg, the same entries produce about 122 expected winners, or roughly KES 82,000 each. Real entries cluster on popular selections rather than spreading at random, so real shares can be smaller when the popular results come in.

With a fixed prize, the amount is set in advance. Regulation 80(1)(c) requires a licensee that offers a jackpot to hold a fixed deposit account equal to the jackpot amount it commits to. At the random baseline a 13-leg two-outcome prize is won about 195 times as often as a three-way one, so the same headline amount would cost far more to fund.

Prize size also decides how a payout is handled under the Third Schedule to L.N. 112. An online prize of up to KES 500,000 is paid immediately, while one above KES 50,000,001 must be paid within thirty working days after verification. A share of about KES 82,000 sits in the first band, and the other bands are covered in how jackpot prizes must be paid out.

What this comparison does not tell you

These figures count combinations and show how often a line would win at random or under invented chances. They do not say which result any match will produce, and no format makes a jackpot a likely win. Regulation 9(g) of the Gambling Control (Advertising) Regulations, 2026 bars gambling adverts that use messages likely to create an erroneous positive impression of gambling.

To test other formats, enter the number of legs and the results per leg in the jackpot odds calculator. Longer three-way slips are worked through in the odds of winning a 17 game jackpot.