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Math & Odds

Lotto Odds Explained: 6/42 vs 6/45 vs 6/49 vs 6/55 vs 6/58

By Arman BulawanPublished Last updated 8 min read
Lotto number grid with selected combination and odds math123456781011131415161819202223242627283031323335363738394041912172125344229The MathC(42, 6) =5,245,786possible combinations1 ticket = 1 chance
Lotto number grid with selected combination and odds math

Every Filipino player has asked it: which lotto game gives me the best chance? The answer isn't a feeling or a lucky streak. It's simple math. This guide breaks down the real odds behind every game you see on PinoyLottoResults.

The formula behind lotto odds

In a 6-ball game, you choose 6 numbers out of a pool (42, 45, 49, 55 or 58), and the order doesn't matter. Mathematicians call this a combination, written C(n, 6):

C(n, 6) = n! ÷ (6! × (n − 6)!)

For Lotto 6/42, that works out to 5,245,786 possible combinations. Only one of them is the jackpot.

Jackpot odds for every PCSO game

GamePoolJackpot odds (1 in)
Lotto 6/426 of 425,245,786
Megalotto 6/456 of 458,145,060
Superlotto 6/496 of 4913,983,816
Grand Lotto 6/556 of 5528,989,675
Ultra Lotto 6/586 of 5840,475,358
6D Lotto6 digits, exact order1,000,000
4D Lotto4 digits, exact order10,000
3D Swertres (straight)3 digits, exact order1,000
2D EZ2 (straight)2 numbers 1–31, exact order961

Notice the pattern: the bigger the pool, the bigger the jackpot and the longer the odds. Ultra Lotto 6/58 is almost 8 times harder to win than Lotto 6/42. Our lotto games page lists prizes and rules for each game side by side.

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What "1 in 40 million" really means

Numbers that large are hard to picture. If you bought one Ultra Lotto 6/58 ticket for every draw (three a week), you would expect to wait, on average, around 259,000 years for a jackpot. That's not pessimism, just arithmetic.

The law of large numbers also tells us that over many draws, results spread evenly across all numbers. That's why "hot" and "cold" numbers don't predict anything. We explain this in detail in hot & cold numbers: myth vs math.

Does buying more tickets help?

Technically yes, but only in a straight line. Ten different tickets for 6/42 give you 10 chances in 5,245,786, which is still roughly 1 in 524,579. Doubling your spend doubles your odds, but the odds stay tiny while the cost adds up quickly.

The PCSO also offers "system" plays, where you pick more than six numbers to cover every 6-number combination inside them. A system play is simply many tickets bundled together, priced accordingly. It doesn't change the underlying math.

Playing smart with the odds

  • Treat lotto as entertainment, not income. Set a budget using our budgeting guide.
  • Choose games consciously: smaller-pool games have better odds but smaller jackpots.
  • Know the draw days from our draw schedule guide so you don't buy tickets you forget to check.
  • Check results properly using our results search.

Have more questions about the numbers? Visit our FAQ or try the fun Lucky Pick generator on the homepage. It's random by design, just like the real draw.

AB

Arman Bulawan

Founder & Editor, PinoyLottoResults · a.bulawan@pinoylottoresults.vip

Arman writes clear, fact-checked guides that help Filipino players understand PCSO lotto games and play responsibly.

AI-assisted content: This article was created with the assistance of AI tools and reviewed, edited and fact-checked by Arman Bulawan. Information is for general purposes only. Always verify results and rules with the official PCSO. 21+ only, play responsibly. Editorial policy · Disclaimer

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