Premium Bonds odds by amount held
Holding £50,000 wins at least one prize in about 90% of months; holding £1,000 only about 4.4%. Here is the full picture for every common holding — chance of winning, expected prize, and how that stacks up against simply leaving the money in savings.
| Holding | Win ≥1 prize / month | Win ≥1 prize / year | Expected prize / year* | Savings at 4.5% / year |
|---|---|---|---|---|
| £1,000 | 4.4% | 42% | £38 | £45 |
| £5,000 | 20% | 93% | £190 | £225 |
| £10,000 | 37% | 99.6% | £380 | £450 |
| £25,000 | 68% | >99.9% | £950 | £1,125 |
| £30,000 | 74% | >99.9% | £1,140 | £1,350 |
| £50,000 | 90% | >99.9% | £1,900 | £2,250 |
*Expected prize = holding × 3.80% prize-fund rate — it is an average, not a prediction. Odds of 1 in 22,000 per £1 per month (from the July 2026 draw (was 3.30% / 1-in-23,000 to June 2026)). Verified 2026-06-10 · Source: NS&I.
👉 Run your own numbers — including a savings comparison — with the Premium Bonds Calculator, or see the per-£1 breakdown on the odds page.
£1,000 in Premium Bonds: odds of winning
A £1,000 holding has about a 4.4% chance of winning at least one prize in any given month — roughly one winning month in 23. Across a full year the chance of winning something rises to about 42%, but that also means more than half of £1,000 holders win nothing at all in a typical year. The expected (average) prize is £38 a year, below the £45 a competitive savings account would pay. At this level you are mostly trading a small amount of interest for the monthly chance of a big prize.
£5,000 in Premium Bonds: odds of winning
At £5,000 the monthly chance of a win moves to about 20% — one winning month in five — and over a year you are likely to win something in about 93% of cases. Expected annual prize: £190, versus £225 in savings. Wins at this level are usually the minimum £25 prize, so expect a handful of small prizes rather than a life-changing amount.
£10,000 in Premium Bonds: odds of winning
With £10,000 you win something in about 37% of months — roughly one in three — and the yearly chance climbs to about 99.6%. Expected annual prize £380 against £450 in savings. This is the holding where small £25 prizes start arriving regularly enough to feel like a return, though the median outcome still trails the savings account.
£25,000 in Premium Bonds: odds of winning
A £25,000 holding wins at least one prize in about 68% of months — two months out of three. Expected annual prize £950 versus £1,125 in savings. At this scale the gap between the average prize and the typical experience narrows: multiple small prizes a year smooth out the randomness, though the £1,000+ prizes remain rare.
£30,000 in Premium Bonds: odds of winning
At £30,000 the monthly win chance is about 74% — three months in four. Expected annual prize £1,140 versus £1,350 in savings. The decision here is less about luck and more about the tax position: for higher-rate taxpayers the tax-free prizes can beat a taxable savings account even at a lower headline rate.
£50,000 in Premium Bonds: odds of winning
The maximum £50,000 holding wins something in about 90% of months — only about one month in ten passes without a prize — and across a year a prize is close to certain (>99.9%). Expected annual prize £1,900 against £2,250 in savings. Even at the maximum, remember the average is pulled up by the big prizes: most months the return is a few £25–£100 wins, not the headline rate.
How these odds are calculated
Every £1 Bond has a fixed 1 in 22,000 chance of a prize in each monthly draw. The chance of winning at least once with a holding of H Bonds is 1 − (1 − 1/22,000)H for one month, compounded over 12 draws for the yearly figure. The expected prize column multiplies the holding by the 3.80% annual prize-fund rate. All figures update when NS&I changes the rate — last verified 2026-06-10.
Frequently asked questions
What are the odds of winning Premium Bonds with £50,000?
At the maximum £50,000 holding, your chance of winning at least one prize is about 90% in a single month and close to >99.9% over a full year, based on odds of 1 in 22,000 per £1 per draw (from the July 2026 draw (was 3.30% / 1-in-23,000 to June 2026)).
What are the odds of winning Premium Bonds with £10,000?
A £10,000 holding gives roughly a 37% chance of winning something in one month and about 99.6% across twelve monthly draws.
Is the expected prize the same as what I will actually win?
No. The expected figure uses the 3.80% prize-fund rate, which is the average across every Bond in the draw. Because a few very large prizes lift the average, the typical (median) holder wins less — many £1,000 holders win nothing at all in a given year.
Are Premium Bonds worth it compared with a savings account?
On average the prize fund (3.80%) pays less than a competitive savings rate (around 4.5%), but Premium Bonds prizes are tax-free and your capital is government-backed with instant access. Larger holdings drift closer to the average; small holders are essentially buying a monthly lottery ticket with their interest.
Do my odds improve the longer I hold Premium Bonds?
No. Every £1 Bond has the same chance in every draw regardless of how long you have held it — there is no loyalty effect. Old and new Bonds are treated identically in each monthly draw.