Past a certain price, the legs stop paying
A ceiling does not shorten a bet - it cuts a horizontal line through the price. Below the line the price pays exactly as quoted; above it the return is flat while the probability keeps falling. This page draws the line and works out what sits above it.
The line, drawn once
cap ÷ stake Three facts produce the whole mechanism. A price is a multiplier: stake times price is the return. A cap is a fixed ceiling: the return cannot exceed it. Put together, the longest price that can be paid is the cap divided by the stake - and that number has nothing to do with how likely the bet is. It is a property of the reader's stake, not of the selections.
So the same fifteen selections are, in order, a bet worth 750,000.0 to a reader staking 0.01, and a bet worth 10,000.0 to a reader staking 1.00. Nothing about the selections changed. The ceiling made the stake the deciding variable.
The truncation, stated as a distribution
Every bet has a range of possible returns and a probability attached to each. A ceiling removes everything above one value and moves it down to that value. This does three things at once, and all three are worth understanding separately.
- It flattens the top. Above the line, outcomes that used to be worth very different amounts all return the same figure. A reader is paying for a spread of long-odds outcomes and receiving one of them.
- worth more than its price It raises the average. Truncation moves probability mass down to the cap, so the expected return of the capped bet is higher than the expected return of the same bet priced honestly at the long odds - because the honest price of a 1-in-750,000 shot is a 750,000.0 payout, and the cap pays 10,000.0 for it. The bet is now better value than its true price, which is exactly why operators are content to keep offering it.
- the top of the range It makes the price you were shown a fiction in its top decile. The number on the slip is the price of a bet that would be paid in full. It is not the price of the bet the reader is holding.
The three things a reader can actually check
- The cap, in the rules. It is published as a figure in the betting rules, and the small print page sets out where to find it and how to tell which version applies.
- The stake against the cap. Dividing one by the other gives the longest price the bet can pay. That is the only arithmetic needed, and it is two keystrokes.
- The price at which the ceiling is crossed. Multiplying the combined price of the legs as they are added shows the rung at which the slip stops paying. Every leg after that rung is a leg the reader has taken on without being paid for it.
What this is not
It is not a claim that a capped bet is unfair, and not a suggestion about what to bet on. A published maximum payout is a disclosed limit; the information problem is not that it is secret, it is that it does not appear where the price appears. It is also not the same subject as the value of a price itself - whether a price is generous given the probability is the value desk, and this page assumes the price is whatever it is before the ceiling is applied.