The False Security of ‘Banker’ Matches: A Perm Risk Case Study

Every pools player has, at some point, looked at a fixture and thought: “that one’s not losing.” A relegation-bound side at home to a team with nothing left to play for. A derby that has finished level in four of the last five meetings. These feel like safe foundations to build a coupon around, so the instinct is to “lock them in” as bankers and spend the saved stake widening the perm elsewhere.

The maths behind this instinct deserves a proper look, because the reduction in lines is real — but so is the risk it introduces, and the two rarely get weighed against each other fairly.

Setting Up the Case Study

Suppose you have shortlisted 11 matches you are reasonably confident about, and your plan requires 8 correct selections to qualify for a dividend. Playing a full permutation of all 11 matches, 8 at a time, covers every possible combination:

C(11,8) = 165 lines.

Now suppose you decide three of those 11 look especially safe, so you fix them as bankers — guaranteed to be used in every line — and build your perm from the remaining 8 matches, picking 5 of them to combine with your three fixed selections (3 + 5 = 8 per line):

C(8,5) = 56 lines.

On the surface, that is an excellent trade: your stake drops from covering 165 lines to covering 56, a reduction of almost two-thirds, for what feels like a tiny sacrifice of flexibility on three matches you were confident about anyway.

Where the Trade-Off Actually Bites

The problem surfaces the moment one banker does not behave. In the full 165-line perm, any single match among the 11 only appears in a subset of lines — specifically C(10,7) = 120 of the 165 lines, worked out by fixing that one match correct and permuting the remaining 10 taken 7 at a time. That means 120 lines contain it, but 45 lines (165 − 120) do not, and those 45 lines remain perfectly healthy even if that particular match goes wrong.

In the banker version, every single one of your 56 lines contains all three bankers, because that is the entire point of fixing them. If even one banker fails to deliver its required result, all 56 lines are affected at once — there is no subset of lines quietly surviving on the strength of the other selections. You have concentrated 100% of your risk on three outcomes instead of spreading it proportionally across 11.

That final column is the heart of the case study. Fixing bankers does not remove risk from your coupon — it concentrates it onto a small number of outcomes while reducing your stake, which is a completely different thing from “safety”. You are making a smaller bet with a higher proportion of concentrated risk, not a smarter one.

Why This Feels Counterintuitive

The appeal of bankers comes from a very human habit: treating “confident” as equivalent to “certain”. Even a match you rate at 85% likely to go your way still fails outright around one time in seven. Stack three such bankers together and assume rough independence between them, and the probability all three land as expected falls to roughly 0.85³ ≈ 61%, meaning your entire 56-line perm has close to a 39% chance of being dead before you even consider the other eight matches. That is a sobering number for selections that felt like the safest part of the coupon.

Compare that to the full 165-line perm, where no single match carries that much structural weight. A banker that disappoints there still leaves 45 lines completely untouched, and partially affects the dividend potential of the rest depending on how the remaining matches land.

A More Balanced Way to Use Conviction

None of this means confident selections are worthless — it means the size of your conviction should be proportionate to how much of your coupon depends on it. A workable approach many experienced players use is to fix no more than one genuine banker per plan, and treat the rest of the “confident” picks as strong but not locked, keeping them inside the permutation pool rather than pulled out of it. This keeps the stake-saving benefit of narrowing a perm without stacking all your risk onto a handful of fixed outcomes.

It is also worth recalculating the actual line count before committing, rather than trusting a gut feel for how much a perm plan has shrunk. The jump from 165 to 56 lines looks like pure efficiency until you see what sits behind it; running the numbers for your own plan each week, even roughly, takes a few minutes and tells you exactly how concentrated your risk has become.

Checking Your Own Plan Before Submission

You do not need advanced statistics software to apply this thinking to your own coupon each week. The quick version is three questions, worked through on the back of an envelope before you commit any stake:

• How many of my total selections are fixed as bankers? The more you fix, the smaller your perm gets, but the more concentrated the risk becomes on exactly those matches.
• What is my honest confidence in each banker, as a rough percentage? Multiply those percentages together to estimate the chance all your bankers land as hoped — most players are surprised how quickly that combined figure drops once three or four selections are involved.
• What proportion of my total lines would survive if one banker failed? If the answer is zero, as with a fully-banked perm, you have built a coupon with a single point of failure, no matter how many lines it technically contains.

Running through this checklist does not tell you which matches will go your way — nothing can do that — but it does tell you honestly how your stake is distributed across risk, which is something you can control even when the football itself is unpredictable.

Playing Within Your Means

Perm plans, bankers, and composite coupons are a way to structure a hobby, not a system for guaranteed returns — no permutation of selections removes the fundamental unpredictability of football. Treat your weekly stake as a fixed, affordable amount set in advance, never as money earmarked to be “won back”. If pools stop feeling like entertainment, it is worth stepping away and, if needed, speaking to a service like BeGambleAware. This content is intended for readers aged 18 and over.