10 tickets vs 5,000 cap: Calculate your real odds in UK raffles

A ticket cap fixes the maximum number of tickets and therefore fixes the denominator in your odds calculation, which makes your probability verifiable. With one prize and a known cap, your odds are simply your tickets divided by that cap. With several prizes, the calculation needs the hypergeometric formula rather than a plain fraction, but the principle holds: a published cap turns an unknown into a number you can check.

TL;DR:

• A fixed ticket cap allows accurate calculation of your odds, especially when combined with multiple prizes, by using the hypergeometric formula rather than simple fractions.
• Your true chance to win depends on your ticket share, which should be calculated by dividing your tickets by the published cap and considering the number of prizes.
• Reliable caps are only useful if the publisher provides clear, consistent, and verifiable information, with no history of early closures or undisclosed changes to the cap.
• Free entries count towards the same cap as paid entries, and operators are expected to disclose the maximum tickets available for honest odds assessment.
• Comparing ticket share and prize count together offers a better understanding of value than simply looking at odds percentages or cap size alone.

Table of Contents

• The maths: from simple fractions to the hypergeometric formula
• How to use ticket caps when choosing which raffles to enter
• Worked examples and a calculator walkthrough
• What operators must disclose, and red flags that change the cap’s usefulness
• Author perspective and how live odds tracking helps
• Reading the cap correctly matters more than chasing it
• Comparing odds without doing it manually
• Sources
• FAQ

The maths: from simple fractions to the hypergeometric formula

When a competition draws a single winner from a fixed pool, the calculation could not be more direct: your tickets divided by the total ticket cap.

Multiple-winner draws are different because each prize awarded removes tickets from the remaining pool. Once you have more than one winner drawn without replacement, the correct model is the hypergeometric distribution, and the Gov describes this as the appropriate model for non-replacement draws.

The formula for the probability of winning at least once is:

• P(at least one win) = 1 minus C(T minus M, W) divided by C(T, W), where T is total tickets, M is your tickets, and W is the number of prizes.
• Use this non-replacement version whenever winners are drawn out and not returned to the pool, which is standard for most raffles and prize competitions.
• Use a simple replacement model only if the operator explicitly draws with replacement, which is rare in consumer raffles.
• Expected wins, a separate and useful figure, equal your tickets multiplied by the number of winners, divided by total tickets (k × w ÷ N).

A ticket cap of 5,000 with 10 tickets held gives odds equal to your tickets divided by the cap, according to the worked figures in the GOV.UK code. That number only means something because the cap is fixed and disclosed. Prize count matters just as much as ticket count: a draw with 40 winners gives you many more paths to a prize than a draw with one, even at an identical ticket share, which is why expected wins deserves its own line in any comparison.

How to use ticket caps when choosing which raffles to enter

The single most useful number when comparing raffles is your ticket share: your tickets divided by the cap. It strips away marketing language and gives you a like-for-like figure across competitions of different sizes and prize values.

1. Calculate your ticket share first. Divide your tickets by the published cap to get a comparable baseline percentage.
2. Check the prize count. A cap with 40 prizes changes your expected wins substantially compared with a single-prize draw of the same size, so factor this in before comparing raw percentages.
3. Confirm free-entry parity. Under the voluntary code, free postal entries and paid entries count equally, and per-person caps apply across all entry routes, so read the terms carefully to see how free entries are counted.
4. Watch sold and remaining counts, not just deadlines. Operators can close a competition early on sell-out or extend it if the cap is not reached, so the advertised end date is not the only variable worth monitoring.
5. Set a threshold before you compare. A cap difference only matters if it meaningfully changes your ticket share, so decide in advance how large a gap justifies switching your entry.

Pro Tip: Compare ticket share and prize count together rather than odds percentage alone, since a high percentage on a single trivial prize can be worse value than a lower percentage on a multi-prize draw.

Our guide to comparing UK prize competitions walks through this process in more depth, and our operator comparison piece explains whether free-entry routes join the same ticket pool as paid entries across several well-known operators.

Worked examples and a calculator walkthrough

Three short examples show how the same principles play out with real numbers.

1. Example A, single winner. Ten tickets held against a cap of 5,000 gives you 10 ÷ 5,000, or 0.2%, exactly as set out in the Gov.
2. Example B, multiple winners without replacement. With 10 tickets, 40 prizes and 1,600 total tickets, the hypergeometric formula gives the probability of at least one win, using the model documented by Calculator Academy.
3. Example C, expected wins and value. Expected wins equal tickets multiplied by prizes, divided by total tickets, and comparing that figure against ticket cost and prize value gives a rough net expected value for the draw.

An online calculator built on this logic needs three inputs: total tickets, your tickets, and the number of prizes, and it should let you choose between the replacement and non-replacement models. A common pitfall is entering a cap that the operator has since raised, which silently changes your true odds without you noticing, so always check the sold or remaining figure against the terms before trusting a stored number.

What operators must disclose, and red flags that change the cap’s usefulness

The GOV.UK voluntary code sets out that operators should provide clear information on the likelihood of winning, including maximum tickets where applicable, so that players can assess their chances honestly. Separately, ASA guidance requires promoters to avoid misrepresenting chances and to be able to demonstrate that selection is random or independently supervised. Where a competition sits closer to a lottery than a prize draw, Gambling Commission rules on proceeds and prize allocation apply instead, which is worth knowing when comparing structures.

Before trusting a published cap, check these points:

• Per-person entry limits and whether they apply identically across free and paid routes.
• Sell-out and extension policies, since an operator that reserves the right to extend can quietly change your denominator.
• Evidence of independent or verifiable randomness in how winners are actually selected.

Pro Tip: Treat a competition with no stated cap, vague wording around “maximum entries”, or a history of shifting deadlines as one where any odds calculation is unreliable until the operator clarifies it. Our checklist for vetting raffle sites covers this in more detail.

Author perspective and how live odds tracking helps

Working through caps by hand is straightforward once you know the formula, but doing it across dozens of live competitions each week is not practical for most players. Raffle Genius aggregates operator disclosures and refreshes odds data regularly, which turns a cap from a one-off calculation into something you can track as sold and remaining figures shift. The undersold competitions page collects draws where ticket share is currently more favourable, and the weekly best odds roundup highlights why particular capped draws stand out that week.

Reading the cap correctly matters more than chasing it

The most common mistake is treating a small cap as automatically good value without checking the prize on offer. A tight cap on a modest prize can carry a worse expected value than a larger cap attached to a multi-prize draw with dozens of winners, so the two figures need reading together rather than separately. Caps do most of their work in medium-sized draws, where a few thousand tickets either way genuinely shifts your share, whereas in very large draws a handful of extra tickets barely moves the number.

Chase undersold, verifiably capped competitions where the terms are clear and the prize justifies the ticket price, and treat the odds percentage as only half the picture.

— matt

Comparing odds without doing it manually

Working out ticket share and expected wins by hand is useful once, but checking it across every raffle worth entering each week is a different task altogether. Categories span Cars, Cash, Homes, Watches & Jewellery, Tech, Holidays and Motorbikes, which makes it possible to compare ticket share across very different prize types rather than guessing at value.

Readers who want the ad-free version of the comparison tables can use Go ad-free for £4 per month, available here. For a quicker route to raffles where the numbers currently look favourable, the undersold competitions list is the fastest starting point.

Sources

• Voluntary code of good practice for prize draw operators
• Promotions with prizes (ASA guidance)
• Chances of winning calculator - Calculator Academy
• How to run a fundraiser with lotteries or raffles at events (Gambling Commission)

FAQ

What does a ticket cap actually do to your odds?

A ticket cap fixes the total number of tickets that can ever be sold, which fixes the denominator in your probability calculation. Your odds become your tickets divided by that cap for a single-prize draw, or the hypergeometric formula for draws with several winners.

How do I calculate odds when a raffle has several prizes?

Use the hypergeometric model: one minus the ratio of combinations that exclude your tickets to the total combinations possible, based on total tickets, your tickets and the number of prizes. This is the formula documented by Calculator Academy and referenced in the GOV.UK voluntary code.

Do free entries count towards the same ticket cap as paid entries?

Yes, under the GOV.UK voluntary code, free and paid entries count equally, and per-person caps apply across all entry routes. Check the specific terms, since some operators require separate, distinct submissions for each free entry to count.

What red flags suggest a published ticket cap is not reliable?

Missing or vague cap language, a history of moving deadlines, and no evidence of independent or verifiable random selection all undermine trust in a published cap. ASA guidance expects promoters to be able to demonstrate fairness and avoid misrepresenting chances of winning.

How does Raffle Genius use ticket caps to compare raffles?

Raffle Genius pulls operator disclosures on caps, sold tickets and prize values, updating the figures regularly so ticket share stays current rather than static. The undersold competitions page uses this data to surface draws where current ticket share looks comparatively favourable.

Recommended

• Are UK raffle sites legit? What to check before you enter
• How to Find the Best UK Prize Raffles: A Complete Operator Comparison Guide
• UK prize competition operators compared: BOTB, Raffall, Premier Prize, Seven Days Performance and Raffle House
• Cash alternative or the car? The maths most winners get wrong