๐ฑ Australian Powerball simulator
Pick your seven numbers and a Powerball, then see how they fare against random Australian Powerball draws. Try one game or simulate thousands in a click โ and compare what happens with the real odds.
Just for fun: This is a simulation, not an official lottery draw or real-money ticket.
One game here = one independent simulated draw checked against your chosen numbers. This is different from buying multiple identical tickets for a single real draw.
Your simulated draws
Choose your numbers, then press Simulate.
Jackpot odds per draw: 1 in 134,490,400.
Picking favourite numbers, using Quick Pick or changing batches does not improve the chance of a particular single draw matching your ticket.
Your results by division
| Division | Matches needed | Simulated count | Expected count | Approx. official odds |
|---|---|---|---|---|
| Division 1 | 7 + Powerball | 0 | โ | โ 1 in 134,490,400 |
| Division 2 | 7 numbers | 0 | โ | โ 1 in 7,078,443 |
| Division 3 | 6 + Powerball | 0 | โ | โ 1 in 686,176 |
| Division 4 | 6 numbers | 0 | โ | โ 1 in 36,115 |
| Division 5 | 5 + Powerball | 0 | โ | โ 1 in 16,943 |
| Division 6 | 4 + Powerball | 0 | โ | โ 1 in 1,173 |
| Division 7 | 5 numbers | 0 | โ | โ 1 in 892 |
| Division 8 | 3 + Powerball | 0 | โ | โ 1 in 188 |
| Division 9 | 2 + Powerball | 0 | โ | โ 1 in 66 |
| No prize | Everything else | 0 | โ | โ 97.73% of draws |
| Any division | At least one of the nine | 0 | โ | โ 1 in 44 |
Run a simulation to compare what actually happened with the mathematical average.
Could a jackpot have happened in this many draws?
Chance of at least one Division 1 result: simulate some draws to see it.
What happens when you test your Powerball numbers?
Australian Powerball gives you two separate choices: seven main numbers and one Powerball. The simulator lets you keep those choices fixed while a new set of winning numbers is drawn each time. You can see a single result, or speed through enough draws to get a feel for just how rare the big matches really are.
It is also a neat way to see why a winning combination is hard to predict. A ticket with seven numbers in a row has exactly the same chance as a scattered-looking ticket. And if a number has appeared five times recently, it is no more likely to appear in the next independent draw.
The interesting part isn't finding a secret winning pattern โ there isn't one. It's watching the gap between what can happen in one draw and what is likely to happen across thousands of them.
Powerball facts that sound made up
More combinations than you'd guess
There are 6,724,520 different ways to pick seven main numbers from 35. Add one of 20 possible Powerballs and you get 134,490,400 complete combinations. That's why matching all eight parts of your ticket is so rare.
A million tries still probably won't hit the jackpot
Simulate one million independent draws with the same numbers and the mathematical chance of seeing at least one Division 1 match is only about 0.74%. A million sounds enormous; a 1-in-134-million event is rarer still.
Your Powerball can repeat a main number
You might choose 12 among your seven main numbers and choose Powerball 12 as well. That's allowed: the main balls and Powerball come from separate barrels. The second 12 isn't a duplicate main number.
The Powerball by itself isn't a win
Guessing the Powerball number alone doesn't earn a prize. The lowest prize division requires at least two of the seven winning main numbers and the Powerball.
"Lucky" numbers are just numbers
A sequence such as 1, 2, 3, 4, 5, 6, 7 is exactly as likely to be drawn as any other particular set of seven main numbers. Patterns can look less random to us, but the draw doesn't care what the pattern looks like.
How the Powerball simulator works
Every simulated draw follows the Australian Powerball format. First, the simulator randomly draws seven different numbers from a barrel of 35. It then draws one Powerball from a separate barrel of 20. Your seven chosen numbers are compared with the seven drawn main numbers, while your Powerball is checked separately.
A match is counted by number, not by position. If all seven main numbers and your Powerball match, that's Division 1. Other exact combinations fall into one of the eight lower prize divisions. Some combinations, including matching the Powerball alone, don't win a division at all.
There are 6,724,520 possible sets of seven main numbers. Multiply by 20 Powerball choices and there are 134,490,400 possible complete outcomes. That's where the 1-in-134,490,400 Division 1 chance comes from โ it isn't a guess based on previous results.
When you simulate 100,000 games, the page makes 100,000 fresh independent draws against your same chosen numbers. The "expected" column is calculated from exact probability; the "simulated" column records what actually happened. They won't necessarily agree, especially for very rare outcomes.
The nine prize divisions
| Division | Main matches | Powerball | Approx. official odds |
|---|---|---|---|
| Division 1 | 7 | Yes | โ 1 in 134,490,400 |
| Division 2 | 7 | No | โ 1 in 7,078,443 |
| Division 3 | 6 | Yes | โ 1 in 686,176 |
| Division 4 | 6 | No | โ 1 in 36,115 |
| Division 5 | 5 | Yes | โ 1 in 16,943 |
| Division 6 | 4 | Yes | โ 1 in 1,173 |
| Division 7 | 5 | No | โ 1 in 892 |
| Division 8 | 3 | Yes | โ 1 in 188 |
| Division 9 | 2 | Yes | โ 1 in 66 |
Published division odds are rounded values from the operator, not the exact reciprocal of each probability. The simulator counts with the exact combination maths; a difference in the final rounded digit is not a maths error.
Possible full Powerball outcomes = C(35,7) ร 20 = 6,724,520 ร 20 = 134,490,400
C(35,7) means โthe number of ways to choose seven numbers from 35 when the order doesn't matterโ.
An independent simulation isn't a reenactment of any official televised draw, and its outputs cannot be checked as real lottery wins.
Sources and game rules
This page follows the 7-of-35 plus 1-of-20 Australian Powerball format and its nine divisions. Official division odds are published as rounded, approximate values.
- Lotterywest โ Powerball (oz.lotterywest.com) (nine prize divisions and published approximate odds)
- Lotterywest โ Powerball (division definitions and rounded odds)
- The Lott โ How do I play the Powerball game? (two barrels, nine divisions)
- The Lott โ What are the odds of each game?
This free simulator is for curiosity and learning. It isn't affiliated with or endorsed by Powerball, The Lott or Lotterywest and doesn't sell entries or pay prizes. Lottery draws are random; no number choice improves the odds.
Frequently asked questions
How many numbers do I pick in Australian Powerball?
Pick seven different numbers between 1 and 35, then one Powerball between 1 and 20. The Powerball comes from a separate barrel, so its number can also appear among your main picks.
What are the odds of winning the Australian Powerball jackpot?
For one standard game, matching all seven winning main numbers and the Powerball is a 1-in-134,490,400 chance. That's based on all possible combinations, not past winning results.
What are the odds of winning any prize division?
Roughly 1 in 44 per standard game, counting all nine divisions. A prize-division result does not necessarily mean you would make a profit from buying a ticket.
Can I simulate 100,000 or a million Powerball games?
Yes. Choose a batch size and the simulator runs that many independent random draws against your selected numbers. A large batch makes the statistics more interesting, but it never guarantees a jackpot.
Does choosing my own numbers beat Quick Pick?
No. Every valid combination has the same chance. Quick Pick simply makes a random valid selection for you; picking birthdays, patterns or favourite numbers does not change the probability.
Do I win anything for matching only the Powerball?
No. A Powerball match alone does not qualify for a prize division. The lowest division requires two winning main numbers plus the Powerball.
If I haven't won after thousands of draws, am I due for a win?
No. Every draw is independent. Your chance on the next simulated draw is unchanged no matter what happened in previous draws.
Are these real Australian Powerball results or real prizes?
No. This is an independent educational simulator using the Australian game's rules. It doesn't buy a ticket, connect to official draws, predict numbers or award money.
Why didn't I get a jackpot in a million draws?
Because a million draws still only give about a 0.74% chance of at least one Division 1 result. Put the other way round, roughly 99.26% of million-draw sessions would see no jackpot at all โ so seeing none is the expected outcome, not a broken simulator.
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