Leagues

The 40-point rule: does 40 points really keep you up?

By · Published · 6 min read

Ask a pundit what a club needs to stay up and you will get the same answer you have heard for thirty years: forty. The 40-point rule is the most durable number in football punditry, repeated every autumn as though it were a rule of the competition rather than a rough historical average. It is a useful target. It is not a threshold, it is not a guarantee, and treating it as one is a good way to misread a relegation battle — and to misprice a relegation bet.

The number is worth taking apart, because the way it fails tells you something general about how league tables work.

Where the 40-point rule came from

Forty points is a heuristic that survived the format it was invented for. When the top flight ran with 22 teams, sides played 42 matches, and 40 points was a plausible-looking benchmark for finishing above the drop zone. The Premier League cut to 20 teams and 38 matches in 1995/96, removing four fixtures — and four chances to accumulate — from every campaign. The target stayed where it was.

The result is a benchmark that has drifted comfortably above the line it describes. In the 20-team era the side finishing 18th — the highest of the three relegated clubs, and therefore the true survival line — has averaged somewhere in the mid-30s. Reaching 40 has been enough in almost every season played under that format. Only a small handful of teams have ever gone down with 40 or more, West Ham’s 42 points in 2002/03 the unhappy record, and it is genuinely rare for the line to climb as high as 39, as it did when Birmingham were relegated in 2010/11.

So the rule is conservative rather than wrong. It is a target that buys you a large safety margin, which is exactly what a manager wants from a dressing-room slogan and exactly what an analyst should be suspicious of.

If not forty, then what?

The honest answer is that there is no fixed number, because the survival line is not a constant — it is a random variable, and a fairly volatile one. It is whatever the 18th-best team happens to accumulate, and that depends on how the bottom of the division is shaped in a given campaign. (The distribution behind that line, division by division, is the subject of a companion piece on the survival line itself.)

Two structural cases pull it in opposite directions:

  • A tight, weak cluster at the bottom. Six or seven poor sides taking points off each other spread the damage thinly. Nobody collapses, nobody pulls clear, and the line settles low — sometimes in the low 30s. A team on 36 survives comfortably.
  • One or two catastrophic sides. When two clubs are detached and lose almost everything, they act as a points bank for everyone above them. The rest of the lower half is fattened by six easy fixtures each, and the third relegation place is contested by teams that all cleared the mid-30s. The line rises.

Neither scenario is predictable in advance, which is why any single number is a summary of history rather than a forecast.

Why a threshold is the wrong mental model

Put the two exceptions above next to the ordinary seasons and the problem is visible without any arithmetic. Forty-two points has sent a club down. Thirty-six has kept plenty of clubs up comfortably. The same total is safe, marginal or fatal depending on nothing the club itself did.

That is not the rule being unlucky. It is what happens when you convert a relative outcome into an absolute one. Finishing 18th rather than 17th is decided by whether three other clubs beat you to it, and a points target has no way to represent three other seasons.

There is a second layer underneath, which is that a club’s own total is far noisier than it looks. A side whose underlying quality “should” produce a mid-30s haul will land several points either side of that with no change in ability whatsoever, purely through the accumulation of 38 uncertain matches — the companion piece on the survival line works that arithmetic through and puts a number on the spread.

Stack the two together — an uncertain total measured against an uncertain line — and a fixed threshold is being asked to summarise two distributions at once. It cannot, and the 40-point rule’s response is to sit far enough out in the tail that it is almost always right, which is a different thing from being informative.

Ask for the probability, not the target

The reason a threshold feels satisfying is that it is a single number you can hold. The reason it misleads is that relegation is a relative outcome: you are not trying to reach a score, you are trying to finish above three specific rivals whose own seasons are equally noisy. No number computed from one club’s form can express that, which is why every serious answer comes out as a probability instead.

A club that goes down in 1,500 of 10,000 simulated seasons has a 15% relegation probability. That one figure already contains everything the 40-point rule is trying to approximate — the club’s own strength, its remaining fixtures, and the strength of everyone it is competing with — without ever committing to a survival line. How that simulation is built, and the tiebreaker trap that quietly breaks it, is covered in Monte Carlo season simulation; what the resulting survival curve looks like division by division is in the companion piece on the survival line.

It also reframes the question usefully. “We need 40 points” invites a team to relax on reaching 40. “We are relegated in 15% of simulations” makes clear that a one-in-seven outcome is not a rounding error; it is roughly the chance of rolling a six.

Reading relegation markets without the myth

Relegation is a season-long binary market, and it is priced on exactly the distribution described above. Three things follow.

Long-shot prices are usually poor value. A club quoted at 20.00 to go down is being given a 5% implied chance before the bookmaker’s margin. Genuine 5% events happen, and the market’s estimate of them is generally well-calibrated, but the margin sits proportionally heaviest on the longest prices.

A points total is not a hedge. “They’re on 38, they’re safe” is a statement about a threshold that does not exist. What matters is the number of realistic paths in which three other clubs finish below them.

The line moves with the division, not the club. A side can improve its own form and see its relegation probability rise, simply because a rival below it improved faster. Any tool that quotes you a fixed survival target cannot represent this.

The broader point is the one we keep returning to: football questions with clean-sounding numerical answers usually have distributions hiding behind them. Forty points is a fine slogan and a poor model. If you want to know whether a club is safe, ask for a probability, ask what it was built from, and ask whether the source publishes how those probabilities have performed — ours are settled and scored in public on our track record, league by league, including the Premier League.

Bet only what you can afford to lose. A well-calibrated 15% still comes in one time in seven.