How Six-Number Lotto Games Work
The Philippine Charity Sweepstakes Office (PCSO) runs several six-number lotto games. In each one you choose six different numbers from a fixed range, and a machine draws six numbers from the same range. The order does not matter. Matching all six wins the jackpot, and smaller prizes are available for matching fewer numbers.
How to Calculate the Odds Yourself
The number of different six-number combinations in a game that draws from N numbers is written as “N choose 6”. It is calculated as N × (N−1) × (N−2) × (N−3) × (N−4) × (N−5), divided by 6 × 5 × 4 × 3 × 2 × 1 (which is 720). Because each combination is equally likely, the chance of hitting the jackpot with one ticket line is 1 divided by that number.
For a 6/42 game that is (42 × 41 × 40 × 39 × 38 × 37) ÷ 720 = 5,245,786.
Jackpot Odds by Game
| Game | You pick | Possible combinations | Jackpot odds per line |
|---|---|---|---|
| Lotto 6/42 | 6 of 42 | 5,245,786 | 1 in 5,245,786 |
| Mega Lotto 6/45 | 6 of 45 | 8,145,060 | 1 in 8,145,060 |
| Super Lotto 6/49 | 6 of 49 | 13,983,816 | 1 in 13,983,816 |
| Grand Lotto 6/55 | 6 of 55 | 28,989,675 | 1 in 28,989,675 |
| Ultra Lotto 6/58 | 6 of 58 | 40,475,358 | 1 in 40,475,358 |
These figures are mathematical results for the jackpot only. They apply to a single line and are calculated from the number format, not taken from any past draw.
Common Myths
- “Due” numbers: a draw has no memory. A number that has not appeared for weeks is no more likely next time.
- Lucky numbers: 1-2-3-4-5-6 is exactly as likely as any other combination. The difference is that many people choose patterns such as birthdays, which can mean sharing a prize if it hits.
- Quick pick versus your own numbers: the chance is identical.
- Buying systems or “hot number” tips: no method changes the odds. Ignore anyone who sells one.
What the Odds Mean for You
With odds in the millions, a lottery is best treated as entertainment with a small, fixed cost. The odds also show why buying more lines helps very little. Doubling the number of lines doubles your chance, but from a very small base.
Conclusion
Understanding combinations makes the odds concrete and takes away the mystery. If you play, set a fixed budget first, as described in our limits guide, and read the responsible gaming page.
Frequently asked questions
Do all numbers have the same chance of being drawn?
In a fair draw, yes. Every valid combination has the same probability.
Does buying more lines improve the odds?
Yes, in proportion. Ten different lines give ten times the chance of one line, but the chance remains very small.
Where can I confirm official game rules and draw results?
On the PCSO website, which publishes the current game formats, results and claim procedures.
