5 from 70 plus 1 from 25 lottery odds calculator
A 5 from 70 plus 1 from 25 draw has 302,575,350 equally likely outcomes, so a single ticket wins the jackpot with probability one in that number. The combinatorics are computed as exact integers. The US Mega Millions format.
- Possible draws
- 302 575 350
- Chance of winning
- 0.000 000 330 496 %
- Expected value of the ticket
- -2.47
- Jackpot at which the bet breaks even
- 756 438 375.00
- Annual cost of playing every draw
- 260.89
- Chance of a jackpot in a year
- 0.000 000 344 896
- Years for an even chance
- 2 009 730
- Your share in a syndicate
- 1 000 000.00
- Syndicate odds: one in
- 30 257 535
Show the working
- Tickets bought = 1
- Ticket price = 2.5
- Jackpot = 10 000 000
- Draws per week = 2
- Syndicate members = 10
- Possible draws = comb(70, 5) * comb(25, 1) = 302 575 000
- probability = 302 575 000 > 0 ? 1 / 302 575 000 : 0 = 3.30496e-9
- Odds: one in = 3.30496e-9 > 0 ? 1 / 3.30496e-9 : 0 = 302 575 000
- Chance of winning = 3.30496e-9 * 100 = 0.000 000 330 496
- Expected value of the ticket = 3.30496e-9 * 10 000 000 - 1 * 2.5 = -2.466 95
- Jackpot at which the bet breaks even = 3.30496e-9 > 0 ? 1 * 2.5 / 3.30496e-9 : 0 = 756 438 000
- Annual cost of playing every draw = 1 * 2.5 * 2 * 52.17857142857143 = 260.893
- Chance of a jackpot in a year = 1 - (1 - 3.30496e-9)^(2 * 52.17857142857143) = 0.000 000 344 896
- Years for an even chance = 3.30496e-9 > 0 ? ln(0.5) / ln(1 - 3.30496e-9) / (2 * 52.17857142857143) : 0 = 2 009 730
- Your share in a syndicate = 10 > 0 ? 10 000 000 / 10 : 0 = 1 000 000
- Syndicate odds: one in = 302 575 000 > 0 ? 302 575 000 / (1 * 10) : 0 = 30 257 500
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- combinations = C(70, 5) x C(25, 1)
- probability with n tickets = n / combinations
- expected value = probability x prize - cost
Expected value ignores the smaller prize tiers and any rollover sharing. A positive expected value does not make a lottery a good investment, because the variance is enormous.
Buying more tickets multiplies your chance linearly, but so does the cost. Nothing about the odds improves per pound spent.
These are exact integer combinations, not rounded figures.
The US Mega Millions format.
5 from 70 plus 1 from 25 odds at a glance
| Tickets | Odds of the jackpot |
|---|---|
| 1 | 1 in 302,575,350 |
| 10 | 1 in 30,257,535 |
| 100 | 1 in 3,025,754 |
| 1,000 | 1 in 302,575 |
| 10,000 | 1 in 30,258 |
Frequently asked
What are the odds of winning 5 from 70 plus 1 from 25?
One in 302,575,350 per ticket.
Do quick picks have better odds?
No. Every combination is equally likely. Choosing unusual numbers only changes how many people you would share a jackpot with.