Double and treble bets: how the stake and return are calculated
A treble is one bet on three selections, and a double is one bet on two. Multiply the decimal odds of the legs, then multiply by the stake to get the return. Every leg must win: at 1.80, 2.50 and 1.60 the combined odds are 7.20, so KES 200 returns KES 1,440.
Single, double and treble in one table
A single is one bet on one selection. A double is one bet on two selections, and a treble is one bet on three. Longer bets of the same kind are called accumulators, and the full method is in how to calculate accumulator odds and payout.
In every case you place one stake. The bet wins only when all of its selections win, and each selection is called a leg.
| Bet | Legs | Legs that must win | Stake placed |
|---|---|---|---|
| Single | 1 | The one selection | One stake |
| Double | 2 | Both legs | One stake |
| Treble | 3 | All three legs | One stake |
The formulas
Decimal odds include the stake. A price of 2.50 means KES 2.50 comes back for each KES 1 staked, so the stake is part of the return and profit is what is left after taking it out.
Fractional prices must be converted first. The guide on decimal vs fractional odds shows the conversion, and 11/10 becomes 11 ÷ 10 + 1 = 2.10.
Why the stake rolls from leg to leg
Think of the bet as two or three singles in a chain. The whole return from leg 1 becomes the stake on leg 2, and the whole return from leg 2 becomes the stake on leg 3. Multiplying the odds gives the same answer as this chain.
Illustrative example
A stake of KES 200 on a treble with invented decimal odds of 1.80, 2.50 and 1.60. The table shows the amount carried forward after each leg wins.
| Leg | Decimal odds | Working | Amount carried |
|---|---|---|---|
| 1 | 1.80 | 200 × 1.80 | KES 360 |
| 2 | 2.50 | 360 × 2.50 | KES 900 |
| 3 | 1.60 | 900 × 1.60 | KES 1,440 |
The combined odds are 1.80 × 2.50 × 1.60 = 7.20. The return is 200 × 7.20 = KES 1,440, and the profit is 1,440 − 200 = KES 1,240. The first two legs on their own form a double at 1.80 × 2.50 = 4.50, which would return 200 × 4.50 = KES 900 and a profit of KES 700.
If any one leg loses, the return is KES 0 and the full KES 200 is lost. Winning the first two legs and losing the third pays nothing.
How implied probabilities multiply
Each price implies a probability of 1 ÷ decimal odds. For legs that do not affect each other, the chance that all of them win is the product of the separate chances. The guide on the chance of winning an accumulator covers the independence condition in more detail.
For the example, the implied probabilities are 1 ÷ 1.80 = 0.5556, 1 ÷ 2.50 = 0.4000 and 1 ÷ 1.60 = 0.6250. Their product is 0.5556 × 0.4000 × 0.6250 = 0.1389, or 13.89%. That equals 1 ÷ 7.20 = 0.1389, so the treble is priced as roughly a 1-in-7 event.
Notice that the chance of winning falls much faster than any single leg suggests. Legs that each look more likely than not (55.56%, 40.00% and 62.50% implied) combine to under 14%.
How the margin compounds
A bookmaker's prices carry an overround: the implied probabilities of a market add to more than 100%. The meaning is set out in what is overround. When you combine legs, the overround of each leg multiplies into the bet.
Illustrative example
Take a two-outcome market where each side is a true 50% chance. The prices are set so that the two implied probabilities add to 1.05 (a 5% overround), so each is 0.525 and the decimal odds are 1 ÷ 0.525 = 1.9048. Suppose all legs are of this kind.
The average return per KES 1 on one leg is 0.50 × 1.9048 = 0.9524, so a single costs 4.76% of the stake on average. For a double, the chance of both winning is 0.50 × 0.50 = 0.25, and the combined odds are 1.9048 × 1.9048 = 3.6281, which is 1 ÷ (0.525 × 0.525) = 1 ÷ 0.275625. The average return is 0.25 × 3.6281 = 0.9070.
The same steps give the treble: the chance of all three is 0.125 and the combined odds are 1 ÷ (0.525 × 0.525 × 0.525) = 1 ÷ 0.144703 = 6.9107. The average return is 0.125 × 6.9107 = 0.8638. The pattern is that the implied probabilities multiply by 1.05 per leg, so n legs carry an overround of 1.05 to the power n, minus 1.
| Bet | Overround of the bet | Average return on KES 1,000 | Average cost on KES 1,000 |
|---|---|---|---|
| Single | 5.00% | KES 952.38 | KES 47.62 |
| Double | 1.05 × 1.05 − 1 = 10.25% | 1,000 ÷ 1.1025 = KES 907.03 | KES 92.97 |
| Treble | 1.05 × 1.05 × 1.05 − 1 = 15.76% | 1,000 ÷ 1.157625 = KES 863.84 | KES 136.16 |
The average cost is a long-run figure over many bets of the same kind, not a prediction for one bet. The full explanation is in why accumulators carry more margin, and the table shows that the cost per shilling staked roughly triples from a single to a treble under these assumptions.
When a leg is void or cancelled
A void leg is one the operator cancels under its rules, for example because the event does not take place. A common convention is to settle that leg at decimal odds of 1.00, so it neither adds to nor removes from the combined odds. The bet then carries on with the remaining legs.
Illustrative example
The same KES 200 treble at 1.80, 2.50 and 1.60, with the second leg void and settled at 1.00.
The combined odds become 1.80 × 1.00 × 1.60 = 2.88, and the return if the other two legs win is 200 × 2.88 = KES 576. A treble with one void leg is then a double. A double with one void leg becomes a single on the remaining leg, and if every leg is void the odds are 1.00 and the stake is returned.
This is only a convention. Some terms may cancel the whole bet instead, so the displayed rules decide, and the guide on void bets and pushes explains the stake maths for a single leg.
What the rules say about the stake
Section 71(1) of the Gambling Control Act, 2025 provides that a player in an online gambling activity shall not bet an amount of less than twenty shillings in a competition. A double or a treble has one stake, so the minimum is read against that stake. The minimum online stake guide covers what the section does and does not say.
Regulation 23(1) of the Gambling Control (Conduct of Gambling Operations) Regulations, 2026 requires a licensee to clearly display betting odds, rules and terms. Rules on voided legs, rounding and payout caps therefore belong in the operator's displayed terms, and your own calculation is a check on them.
Checking your own working
- Multiply, do not add. Odds of 1.80 and 2.50 combine to 4.50, not 4.30.
- Subtract the stake for profit. A return of KES 1,440 on a KES 200 stake is a profit of KES 1,240.
- Keep four decimals. Round only the final amount.
- Remember the full stake is at risk. A treble that fails on the last leg loses everything staked.
A bigger possible return does not mean a better bet. Fix the amount you can afford to lose before staking, as described in setting a betting budget and limits. Gambling is addictive. Play responsibly.
Questions and answers
What is a treble bet?
A treble is a single bet that combines three selections, called legs. It pays only if all three win, and its odds are the product of the three decimal odds.
What is a double bet?
A double combines two selections in one bet. The return is the stake times the odds of the first leg times the odds of the second, and it is paid only if both win.
Is the stake split between the legs of a double or treble?
No. One stake is placed on one bet. When the first leg wins, the whole return is carried to the second leg, and so on, so the full stake is at risk until the last leg is settled.
What happens if one leg of a treble is void?
A common convention is that the void leg is settled at decimal odds of 1.00 and the remaining legs stand, so the treble becomes a double. Whether an operator uses this convention is set out in its terms for the bet.
Why does a treble cost more per shilling than a single?
Each leg carries the bookmaker's margin, and the margins multiply. With 5% overround on each leg, a single costs about 4.76% of the stake on average, a double about 9.30% and a treble about 13.62%.
Does the KES 20 minimum online stake apply to doubles and trebles?
Section 71(1) of the Gambling Control Act, 2025 says a player shall not bet an amount of less than twenty shillings in a competition when betting online. A double or a treble is one bet with one stake, and the Act sets no separate figure per leg.
Sources
- Gambling Control Act, 2025 (No. 14 of 2025), s.71(1), accessed 2026-10-26
- Gambling Control (Conduct of Gambling Operations) Regulations, 2026, r.23(1), accessed 2026-10-26