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Thunderball Odds Calculator

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Jackpot Odds

1:8060598

This Prize Odds

1:8060598

Jackpot Chance

0.00001241%

This Prize Chance

0.00001241%

Jackpot EV

$-0.94

Expected Jackpot Return

0.062030

How to use Thunderball Odds Calculator

Thunderball is the UK National Lottery’s fixed-top-prize two-drum game: five main numbers from 1–39 plus a Thunderball from 1–14, at £1 a line. The top prize is £500,000, not a rolling Saturday jackpot. Operator: Camelot historically, Allwyn since February 2024. Multiple draws each week (the cadence has included Tuesday, Wednesday, Friday, Saturday; check the current Allwyn calendar). This calculator still uses Tickets, Ticket Price, Jackpot, Main Matches and Bonus Matches. Start with Tickets: distinct £1 Thunderball boards for one drawing. Ten lines is Tickets = 10. Do not enter a week’s worth of nights as Tickets unless you bought that many boards in a single draw.

Ticket Price defaults to 1. Leave it. There is no Power Play equivalent. Jackpot defaults to 500000 and should almost always stay there. Thunderball does not roll a mega prize; if nobody hits 5+1 the £500,000 is simply not paid that draw (lower tiers still pay). Overriding Jackpot is only useful if you want a sensitivity check, not because Allwyn advertised a different top prize. Typing a UK Lotto rollover into this field is a mistake.

Main Matches is 0–5 on the 5/39 pool. Bonus Matches is the Thunderball, 0 or 1, from 14 numbers. The £500,000 prize is Main Matches = 5 and Bonus Matches = 1. Matching five mains and missing the Thunderball is the next official tier (£5,000). Matching the Thunderball with fewer mains is how most “I won something” tickets happen, because 1/14 is a fat extra ball. Set Bonus Matches = 1 when the Thunderball is correct; 0 when it is not. This is not UK Lotto: here you do pick the extra ball, and the field exists.

Calculate. Jackpot Odds is 1 in C(39,5)×14 = 1 in 8,060,598. That is the friendliest jackpot denominator on this nine-game list, which is why the prize is capped at £500,000 instead of rolling to £50 million. This Prize Odds is your hypergeometric pattern. Jackpot Chance = 1−(1−p)^tickets. One hundred lines in one draw is about 1 in 80,606 at the top prize. This Prize Chance follows the chosen tier. Jackpot EV = tickets×(500000×jackpotP − 1) at defaults: 500000/8,060,598 − 1 ≈ £0.062 − £1 = −£0.938 per line. Expected Jackpot Return ≈ £0.06. Lower fixed prizes (the published Thunderball table) add return the EV line ignores. Sharing of the £500,000 among multiple 5+1 winners is ignored; it can happen, and when it does each winner’s payout falls, which the printed EV does not reflect.

About this calculator

Thunderball launched in 1999 as the National Lottery’s cheaper, easier, fixed-prize companion to Lotto. You pick five numbers from 39 and one Thunderball from 14. Cost is £1. Top prize is £500,000. Draws run several times a week; the exact weekday set has been tweaked over the licence periods, but it has always been more frequent than Lotto’s Wednesday/Saturday pair. Camelot ran it until Allwyn took the National Lottery licence in February 2024. Same retailer network as UK Lotto and UK EuroMillions; different matrix, different prize philosophy.

There is no famous rolling jackpot because there is nothing to roll. The “famous” Thunderball outcome is hitting £500,000, which has happened many times across more than two decades, usually to a single ticket, occasionally split. That is a different cultural object from the EuroMillions €250 million cap or the 6/59 Must Be Won Saturday. People buy Thunderball because the odds are printable (1 in 8.06 million) and the stake is a pound. They should still see that £500,000 / 8,060,598 ≈ 6.2 pence of expected top-prize return per pound, before lower rungs.

Compared with UK Lotto: Thunderball is 5+1 versus 6, 39+14 versus 59, £1 versus £2, fixed £500k versus rolling jackpot, bonus ball you pick versus bonus ball you do not pick. Compared with EuroMillions: not even close in difficulty or prize. Compared with U.S. Powerball: Thunderball is a different country’s product with a top prize that is 4,000 times smaller than a $2 billion annuity and odds that are 36 times easier. Compared with Cash4Life: both are “capped dream” products, but Thunderball pays a lump £500,000, not £1,000 a day, and it is Allwyn, not a U.S. state lottery.

Prize table below £500,000 is a ladder of fixed amounts for 5+0, 4+1, 4+0, 3+1, 3+0, 2+1, 1+1, and 0+1. The 0+1 rung (Thunderball only) is why so many tickets “win”: C(39,5) in the miss-all-mains term times 1/14. This calculator will give you that odds cell if you set Main Matches = 0 and Bonus Matches = 1; it will not look up the official pound payout for you. Use the Allwyn table for amounts, this page for probabilities.

If your slip is Lotto 6/59, this matrix understates difficulty by a factor of five and a half. If your slip is Set For Life (5/47 + Life Ball 1/10, weekly stipend), go to that calculator instead. Thunderball is the £1, 5/39 + 1/14, £500,000 game, multiple weekly draws, Allwyn/Camelot, United Kingdom only.

Math under the hood

Thunderball is the National Lottery’s fixed half-million: five from thirty-nine and a Thunderball from fourteen, at one pound a line. Camelot launched it in 1999; Allwyn inherited the licence in 2024. Several draws run each week. The top prize is five hundred thousand pounds, not a rolling Saturday jackpot. Combinatorics: 1 / [C(39,5)×C(14,1)] = 1/8,060,598. That is the friendliest first-category denominator among the official matrices in this lecture, which is why the prize is capped in six figures instead of rolling to fifty million.

Main combinations: C(39,5) = 39×38×37×36×35 / 120 = 575,757. Multiply by fourteen Thunderball faces: 575,757×14 = 8,060,598. Matching five mains is already one in 575,757; the extra ball makes the advertised top one in 8.06 million. If nobody hits 5+1, the half-million is simply not paid that draw; lower rungs still pay. There is no rollover identity that repairs a bad week’s expectation.

Hypergeometric mains: C(5,k)×C(34,5−k)/C(39,5). Thunderball: one fourteenth or thirteen fourteenths. Five mains without the Thunderball: (1/575,757)×(13/14) = 13/8,060,598, one in 620,046, the five-thousand-pound class in the published table. Four mains plus the Thunderball: C(5,4)×C(34,1)/575,757 × 1/14 = 170/8,060,598, about one in 47,415. Zero mains plus the Thunderball: C(34,5)/575,757 × 1/14 with C(34,5) = 278,256, so 278,256/8,060,598, about one in 29, which is why so many tickets “win something.” Each published rung that cares about the extra ball multiplies the mains hypergeometric by one fourteenth.

Fifty lines: 1−(1−1/8,060,598)^50 ≈ 50/8,060,598, about one in 161,212 at five hundred thousand. Expected top-prize pounds are 500,000/8,060,598 ≈ 0.062 against one pound, so jackpot-only expectation is about minus 0.94 a line. No advertised climb repairs that. Sharing between two 5+1 winners would halve the 500,000 in the formula. A full prize-table expectation adds the fixed lower rungs times their hypergeometrics and remains a house game, which is how a lottery can post a half-million at eight million to one without insolvency.

This is not 6/59 Lotto and not Set For Life’s monthly salary. Keep five from thirty-nine times one from fourteen, one pound, fixed £500,000, Allwyn retail, United Kingdom only.

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