Lottery Odds Explained: How They Are Calculated and Compared

Lottery odds tell you the chance of your ticket winning across different prize tiers. Jackpot odds tell you how likely your ticket is to win the top prize in a draw, while overall odds count every winning prize tier. It pays to look at both odds when comparing games on the best US online lotteries.

Odds notation like “1 in X” counts every one of the number combinations and picks one as the winner. For example, the odds of landing any Powerball prize are 1 in 24.87, as of November 2026. That means roughly 100 of every 2,487 tickets win some prize. About 92 of those 100 wins are the $4 prize, which is just double the $2 ticket.

If you live in Georgia, Kentucky, Pennsylvania or Virginia, you can buy Powerball, Mega Millions and your state’s own games online through the state lottery, and each one has a new-player offer:

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The easiest way to calculate the lottery is to count every unique ticket or number combination the rules allow. For a game with a bonus ball, multiply by the bonus field number size (24 in Mega Millions). You can then turn that total count into the “1 in X” odds notation.

Combinatorics does the counting with the formula C(n, k), read as ‘n choose k’. Order doesn’t matter, so 1-2-3-4-5 and 5-4-3-2-1 are the same ticket. A factorial (n!) multiplies a whole number by every whole number below it, so 5! = 120. The full formula is n! ÷ (k! × (n – k)!).

Powerball Example: 4 Steps to the Jackpot Odds

Off the back of that, here’s a step-by-step on how to calculate the Powerball jackpot odds:

1) Set the number field and pick-size: As per the Powerball guide, you choose 5 white balls from 1-69, so n = 69 and k = 5.

2) Count the white-ball number combinations: 69 × 68 × 67 × 66 × 65 ÷ 120 = 11,238,513.

3) Multiply by the 26 red Powerball options: 11,238,513 × 26 = 292,201,338.

4) Write the result in “1 in x” odds notation: 1 in 292,201,338, which matches the official figure verified in November 2026.

Bonus step: The overall odds add the probability of all 9 prize tiers, then flip the total back into 1 in X. That sum gives Powerball its official 1 in 24.87.

The Same Formula Works For All Lottery Games

The same counting formula works for any lottery game, from Powerball to a $1 state draw game, based on their number fields:

• Mega Millions: 12,103,014 white-ball combinations × 24 gold balls = 290,472,336.
• California Lottery SuperLotto Plus: 5 of 47 + 1 of 27, 1 in 41,416,353
• Georgia Fantasy 5: 5 of 42, 1 in 850,668
• Kentucky Cash Ball 225: 4 of 35 + 1 of 25, 1 in 1,309,000
• Pennsylvania Treasure Hunt: 5 of 30, 1 in 142,506

What Is Expected Value and Why Does It Matter to Lottery Players?

Expected value is the average return of a lottery ticket once you weigh every prize tier. To calculate, multiply the probability by the payout for each prize, add the results across all prize tiers, then subtract the ticket cost.

It pays to know EV because it can account for split jackpots and taxes. Annuity vs cash payout matters too, because the cash option pays less up front than the advertised annuity. Check current tax treatment with a tax professional or your state lottery’s official site.

Smaller state games have far better odds than multi-state jackpot games, in exchange for much smaller prizes.

Which lottery has the best odds comes down to the number field. As of November 2026, Virginia Lottery Pick 3 offers top-prize odds of 1 in 1,000, while Pick 4 offers 1 in 10,000.

Among pick-5 and pick-6 formats, Virginia Lottery Cash 5 is about 239 times more likely to hit than Powerball, and Bank a Million is about 76 times.

Odds verified November 2026 on official state and multi-state lottery pages.

Pick 3 has the best VA Lottery odds of 1 in 1,000 for its $500 top prize. Cash 5 with EZ Match has the best odds among games whose jackpot can reach 7 figures.

Here’s how the rest of Virginia Lottery draw games fare:

• Pick 4: 1 in 10,000 for $5,000
• Cash 5 with EZ Match: jackpot at 1 in 1,221,759; any prize at 1 in 3.61
• Millionaire For Life: 1 in 22,910,580 for $1 million a year for life; any prize at 1 in 8.47
• Bank a Million: 6 of 1-40 + a bonus ball, with jackpot odds of 1 in 3,838,380 and any prize at 1 in 18.3. As detailed in the Virginia Lottery review, the $1,000,000 top prize is paid after taxes.

New online players can also add bonus funds to their first deposit with the VA Lottery promo code, which lowers the cost per ticket but doesn’t change the odds of any game.

Among Georgia’s jackpot games, Fantasy 5 has the best odds at 1 in 850,668, with jackpots starting at $125,000. Cash Pop pays smaller prizes, but lands a prize once every 15 plays on average.

• Fantasy 5: 5 of 1-42 for $1, jackpot at 1 in 850,668; any prize at 1 in 10.06. Drawn every night.
• Cash Pop: 1 number from 1-15 for $1 to $10; top prize (up to $2,500 on a $10 play) at 1 in 8,250; any prize at 1 in 15. Five draws a day.

That makes Fantasy 5 about 343 times more likely to hit than Powerball. If you play online, the GA Lottery promo code adds bonus funds to your first deposit, which lowers your cost per ticket but doesn’t change the odds of any game.

Among Kentucky’s jackpot games, Cash Ball 225 has the best odds at 1 in 1,309,000 for a fixed $225,000 top prize. You pick 4 numbers from 1-35 plus a Cash Ball from 1-25 for $1, drawn every night.

• Cash Ball 225: jackpot at 1 in 1,309,000; any prize at about 1 in 10.7.
• Pick 3: 1 in 1,000 for a straight win, drawn twice a day.

Kentucky 5 used to beat it at 1 in 575,757, but its last draw was on November 2, 2024. Cash Ball 225 is about 223 times more likely to hit than Powerball, and the KY Lottery promo code gives new online players bonus funds to spread across tickets.

Treasure Hunt has the best odds of any jackpot game in this guide at 1 in 142,506, and pays some prize on 1 in 5.45 plays. You pick 5 numbers from 1-30 for $1, with a draw every afternoon.

• Treasure Hunt: jackpot at 1 in 142,506; any prize at 1 in 5.45.
• Cash 5 with Quick Cash: 5 of 1-43 for $2, jackpot from $150,000 at 1 in 962,598; any prize at 1 in 10.51, plus an instant Quick Cash game at 1 in 4.71.

Treasure Hunt is about 2,050 times more likely to hit than Powerball, though its jackpot starts at $10,000 and builds from draw to draw rather than reaching the millions. You need to be inside Pennsylvania to play online, and the PA Lottery bonus code matches your first deposit, which stretches your ticket budget but doesn’t change the odds of any game.

In a Mega Millions vs Powerball comparison, Mega Millions has better odds for both the jackpot and any prize tiers. As of November 13, 2026, its jackpot odds of 1 in 290,472,336 are roughly 0.6% better than Powerball’s 1 in 292,201,338 for the Grand Prize.

However, as noted in our Mega Millions guide, the lottery commission raised its ticket cost to $5 in April 2025. So every play is 2.5x costlier than the $2 Powerball charges.

Odds verified November 2026 on powerball.com and the official Mega Millions game page.

What Are the Odds of Winning $1,000,000 in Powerball?

The odds for winning $1,000,000 in Powerball are 1 in 11,688,053.52, and you have to match all 5 white balls and miss the red Powerball. The Virginia Lottery rounds the figure to 1 in 11,688,054.

That tier is 25 times as likely as the jackpot’s 1 in 292,201,338, which makes its odds 96% shorter. Adding Power Play lifts the prize to $2,000,000, whichever multiplier is drawn.

Odds verified November 2026 on powerball.com.

Statistically, no. Expected value is negative for nearly every lottery ticket, including about -$0.63 before tax on a $2 Powerball ticket with a $307.2 million cash jackpot. Prize pools return only part of what players spend, so the average ticket returns less than its price.

A positive reading needs a very large jackpot, no split pot, and favorable tax treatment all at once. That’s why we recommend budgeting a ticket as entertainment spending, not as an investment.

Each lottery drawing is an independent random event, so no algorithm, AI or otherwise, can predict the outcome. Every one of the 292,201,338 number combinations in Powerball is equally likely, and the balls carry no memory of earlier drawings. A model trained on past results finds patterns the way people find shapes in clouds.

Software can still track hot and cold numbers for fun, or generate picks that skip birthdays. That lowers the chance of sharing a jackpot, not the chance of winning. Treat any tool that sells “predictions” as a red flag.

A lottery odds calculator takes 3 inputs. That’s the number pool (n), the pick-size (k), and the bonus pool, if the game has one. It returns the jackpot odds as 1 in X.

Here’s how to use the lottery odds calculator for Virginia Cash 5:

1) Enter 45 for the number field and 5 for the pick size.

2) Leave the bonus pool blank, since the game has no bonus ball.

3) Read the result: 1 in 1,221,759.

Read each row left to right: the number field sets the jackpot odds. Overall odds show how often any prize pays.

Odds last verified on November 13, 2026.

Millionaire for Life stands out in this table: its top-prize odds are about 13 times better than Powerball’s, and it pays some prize about 3 times as often, though a play costs $5.

Yes, but only marginally and in proportion. Doubling your tickets doubles a tiny probability, and a doubled tiny number is still tiny.

For example, each ticket adds 1 more combination to a pool of 292,201,338 in Powerball. That means the odds of winning lottery jackpots improve in a straight line and not in leaps. A jackpot rollover doesn’t increase the odds, but it raises the prize and, as more tickets sell, the chance of splitting it.

Every odds figure on this page comes from an official source read on November 13, 2026: the game pages of the California, Georgia, Pennsylvania and Virginia lotteries, the Kentucky Lottery’s winner announcements, megamillions.com, and powerball.com, which also publishes the Millionaire for Life and Lotto America prize charts. We also recalculated each jackpot figure with the combinations formula above, and every one matched the published number.

Where a lottery doesn’t publish a figure, we say so. Kentucky’s any-prize odds for Cash Ball 225 are our own calculation from its prize table, which is why they read “about 1 in 10.7”. We didn’t buy tickets or play any game for this guide, and game rules can change, so check the official page before you play.

The smaller the number field, the fewer combinations a ticket has to beat. Daily pick games, Pennsylvania’s Treasure Hunt and the Cash 5 games in Virginia and Pennsylvania all beat Powerball on jackpot odds, but pay less, and the expected value stays negative. Check the current lottery odds on the operator’s official page before every purchase.

You must be 18 or older to play in most states (19 in Nebraska; 21 in Arizona, Iowa, Louisiana and Mississippi). Treat tickets as entertainment and set a budget first. If gambling stops being fun, call or text the National Problem Gambling Helpline at 1-800-MY-RESET (1-800-697-3738), or chat at 1800myreset.org, 24/7.