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Is a UK Lotto play worth £2?

At the smallest jackpot, £1 million, a £2 play pays back £0.773 on average: you lose £61.33 of every £100. Type in this draw's jackpot below.

What a play pays back

The operators do not publish how many plays a draw sells. Leave this empty to leave sharing out, or type an estimate.

from the other prizes from the jackpot lost on average

A £2 play pays back £0.773 on average.

You lose £61.33 of every £100 you spend.

£0.044 of that comes from the jackpot and £0.729 from the other prizes.

At this jackpot, a play is worth less than its price.

A play pays back its price on average only once the jackpot reaches about £28.6 million, before tax.

What each prize adds to a play

Numbers matched Chance in one round Prize Adds
61 in 45,057,474£1 million£0.044
5 + Bonus Ball1 in 7,509,579£1,000,000£0.266
51 in 144,415£1,000£0.014
41 in 2,180£50£0.046
31 in 96.17£10£0.208
21 in 10.26£1£0.195
Average payback£0.773

Every play takes part in both rounds of a draw, so each line adds twice its chance in one round times the prize. The odds page gives the chance in a draw, 1 in 22,528,737 for the jackpot.

The jackpot line allows for sharing with other winners when you give the plays in the draw.

How it is worked out

A play's average payback is the sum, over every prize, of its chance times its amount. The table above does exactly that, line by line.

When more than one play wins the jackpot, the winners share it. If a draw sells T plays, the number of other winners is very close to a Poisson count with an average of λ = T × the jackpot chance, and a winner keeps on average (1 − e−λ) ÷ λ of the jackpot.

The break-even jackpot is the one at which the average payback equals the price of a play.

What this leaves out

Sources

The chances are those of the odds page, checked the same way. Prizes and sales were read from these pages:

The National Lottery is run by Allwyn Entertainment Ltd under licence from the Gambling Commission. TrainYourOdds is independent and not connected with any lottery operator.