Hole-in-One Odds: The Maths Behind the Special Markets

Updated September 2026
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The Special That Looks Like a Lottery Because It Is One

The first hole-in-one special I ever placed was a £5 ticket at 80/1 on “any hole-in-one in the tournament” at a 2018 Open. I won £405 the following morning when somebody (I cannot even remember who) holed out on the second-round par-3 8th. I felt clever for a week. It took me another three seasons of placing the same bet at every major and losing the lot to realise that the 80/1 I had taken was a 60 per cent margin product disguised as a long-shot.

Tour pro hitting a par-three tee shot at a UK tournament with the green in view

Hole-in-one odds are the cleanest place to demonstrate how a bookmaker’s margin layer is constructed. Every other golf market involves a model with assumptions that punters can argue about. Hole-in-one is pure arithmetic — the base rate of an ace at a professional event is a published statistic, the number of par-3 shots in a tournament is a fixed count, and the implied probability of “at least one ace” is a binomial calculation any GCSE student could run. The gap between that fair price and the price you see in the app is the margin, and it is bigger than anywhere else on the card.

What follows is the actual maths, the live-market mechanics where they exist, and the no-action clauses that decide whether your ticket settles when an ace does happen but on the wrong hole or in the wrong round.

The Base Rate of an Ace, Explained Properly

The published numbers for hole-in-one probability vary by source and methodology, but the consensus range is well-established. A PGA Tour professional carries a probability of roughly 1 in 3,000 of acing any given par-3, against 1 in 5,000 for a low-handicap amateur and 1 in 12,500 for a typical amateur. More granular tour data puts the per-par-3 probability for a PGA Tour pro at approximately 0.0417 per cent, or 1 in 2,400 per attempt — the slight discrepancy reflects different sample windows.

A typical PGA Tour season includes about 464 par-3 attempts across all events for a top-30 player, which gives an annualised probability of approximately 1.64 per cent for “at least two aces in a season” by a single elite player. The base rate across the entire field at a single tournament is much higher, because four rounds × 156 starters × 4 par-3s per round = 2,496 attempts, of which roughly 0.83 will hit (a 56 per cent probability of “at least one ace this week” on the pure base rate, before margin).

Clean chart of historical hole-in-one base rates per round across tour events

The data shows the same number from a different angle: at amateur and professional level combined, a hole-in-one happens approximately once every 3,500 rounds of golf played, with the average ace distance of 147 yards for men and 116 yards for women.

Plug these numbers into the “any hole-in-one this tournament” price. A fair 56 per cent probability translates to decimal odds of 1/0.56 = 1.79 (roughly 4/5 in fractional). Operators routinely quote this at 1.40-1.50 decimal, implying a 67-71 per cent probability — a margin layer of 12-15 percentage points, or 21-27 per cent in pure bookmaker overround terms.

Hole-in-One Special Pricing: Where the Margin Lives

The “ace insurance” or “tournament special” markets that several UK operators offer are typically structured as fixed-price bets at 1.40-1.60 decimal for “any ace in the tournament” at major championships, drifting to 1.80-2.20 at less-watched events with smaller fields.

Compare those prices with the fair value. A 156-player major with four par-3s and four rounds has a base-rate probability of “at least one ace” of approximately 56 per cent — fair price 1.79. The 1.40 quoted in the market is a 28 per cent shave on the fair price, or a margin layer of nearly 40 per cent in implied probability terms. The “any ace” special at a 64-player invitational is even worse — fair price drifts to around 2.40 (probability of at least one ace at a 64-player event with 16 par-3s sits near 42 per cent), but operators tend to quote 1.90-2.20, holding a similar percentage shave.

Special markets board showing hole-in-one odds for each par-three at a UK golf event

Hole-specific aces (“ace on the 16th in round one” or “ace on the 8th this round”) run at 80/1 to 250/1 against true probabilities of 2,400/1 to 3,000/1. These are pure lottery tickets with margin layers above 90 per cent — fun to place at £1 stakes if you enjoy the suspense, but never serious-stake investments.

The albatross — the rarer cousin of the ace — is priced even more aggressively because the base rate is roughly 1 in 1,000,000 against a typical operator price of 250/1 or longer on “any albatross this tournament.” The same pattern applies: the rarer the event, the bigger the margin layer.

Live Ace Markets, Hole by Hole

Is “any hole-in-one in the tournament” a real UK live market? Yes, at most of the larger UK operators, though it is rarely promoted heavily because the live trading desk has tight rules about when it can be open. Generally, the market is offered pre-tournament and stays live until the moment the first par-3 of the tournament is reached, then suspends and re-opens between holes for the remainder of the week.

Hole-specific live aces (“ace on the next par-3 by player X”) exist at a handful of UK books for high-profile groups during majors. The pricing is typically 250/1 to 500/1 against a true probability of around 1 in 2,400 to 3,000 per attempt — margin layers above 80 per cent.

Live hole-in-one betting screen on a UK mobile interface showing per-hole markets

The interesting live wrinkle is during round four when a par-3 is being played. Some operators offer a live “ace on this hole, any player” market for the duration of the group’s tee shots — typically a 90-second window from the first player teeing off to the last ball coming to rest. The price during that window is 100/1 to 200/1 (true probability around 1 in 800 for the group), and the market closes the instant any ball is putted out.

These live windows are short, the prices are wide, and the variance is huge. They reward the punter who reads them as entertainment rather than investment, and they punish anyone who places more than 0.5 per cent of bankroll on a single attempt.

Concession and No-Action Clauses: When Aces Don’t Count

The settlement on a hole-in-one bet seems straightforward until you read the operator terms, where you discover that “ace” is not always what you think it is.

Rule book page describing no-action clauses around hole-in-one settlement

The standard exclusions across most UK books: aces during practice rounds do not count, aces during the pro-am do not count, aces during weather-suspended play that gets restarted from a previous shot do not count, and aces hit by amateurs or marker players (rare but happens at smaller events) do not count.

The “official tournament round” clause is the most-litigated of these. A par-3 ace hit during round two by a player who later misses the cut still counts — the round is official, the ace counts, the bet settles. A par-3 ace hit during round three by a player who then withdraws on hole 11 also counts. The bet pays on the ace, not on the player completing the tournament.

The “concession” clause appears only on hole-specific live markets at a handful of operators. The clause states that if the tee shot is conceded (no relevant ruling in stroke play, but possible in match play formats like the Ryder Cup or Solheim Cup), the bet voids. This almost never triggers in stroke-play tournaments but worth noting for match-play events.

The settlement timing matters too. Hole-in-one bets typically settle within four hours of the tournament’s final ball being putted out. If an ace happens on Sunday afternoon and your operator’s settlement is delayed past Monday morning, contact support — the delay is unusual and worth flagging.

Is ‘any hole-in-one in the tournament’ a real UK live market?

Yes at most large UK operators, though it is rarely promoted heavily. The market opens pre-tournament, suspends as each par-3 is being played, and re-opens between holes for the rest of the week. The implied margin is unusually wide because the underlying probability is precisely calculable.

What is the implied margin in a typical hole-in-one tournament special?

Roughly 20-40 per cent of the implied probability, depending on operator and event size. A 1.40 decimal price on ‘any ace in a major’ translates to a 71 per cent implied probability against a true base rate of 56 per cent, which is a 15-percentage-point margin layer.

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