6 from 58 lottery odds calculator
A 6 from 58 draw has 40,475,358 equally likely outcomes, so a single ticket wins the jackpot with probability one in that number. The combinatorics are computed as exact integers.
- Possible draws
- 40 475 358
- Chance of winning
- 0.000 002 470 64 %
- Expected value of the ticket
- -2.25
- Jackpot at which the bet breaks even
- 101 188 395.00
- Annual cost of playing every draw
- 260.89
- Chance of a jackpot in a year
- 0.000 002 578 29
- Years for an even chance
- 268 840
- Your share in a syndicate
- 1 000 000.00
- Syndicate odds: one in
- 4 047 536
Show the working
- Tickets bought = 1
- Ticket price = 2.5
- Jackpot = 10 000 000
- Draws per week = 2
- Syndicate members = 10
- Possible draws = comb(58, 6) = 40 475 400
- probability = 40 475 400 > 0 ? 1 / 40 475 400 : 0 = 2.47064e-8
- Odds: one in = 2.47064e-8 > 0 ? 1 / 2.47064e-8 : 0 = 40 475 400
- Chance of winning = 2.47064e-8 * 100 = 0.000 002 470 64
- Expected value of the ticket = 2.47064e-8 * 10 000 000 - 1 * 2.5 = -2.252 94
- Jackpot at which the bet breaks even = 2.47064e-8 > 0 ? 1 * 2.5 / 2.47064e-8 : 0 = 101 188 000
- Annual cost of playing every draw = 1 * 2.5 * 2 * 52.17857142857143 = 260.893
- Chance of a jackpot in a year = 1 - (1 - 2.47064e-8)^(2 * 52.17857142857143) = 0.000 002 578 29
- Years for an even chance = 2.47064e-8 > 0 ? ln(0.5) / ln(1 - 2.47064e-8) / (2 * 52.17857142857143) : 0 = 268 840
- Your share in a syndicate = 10 > 0 ? 10 000 000 / 10 : 0 = 1 000 000
- Syndicate odds: one in = 40 475 400 > 0 ? 40 475 400 / (1 * 10) : 0 = 4 047 540
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(58, 6)
- 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.
6 from 58 odds at a glance
| Tickets | Odds of the jackpot |
|---|---|
| 1 | 1 in 40,475,358 |
| 10 | 1 in 4,047,536 |
| 100 | 1 in 404,754 |
| 1,000 | 1 in 40,475 |
| 10,000 | 1 in 4,048 |
Frequently asked
What are the odds of winning 6 from 58?
One in 40,475,358 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.