Curious to know which Lotto game offers the best odds of winning? Let’s find out using the formula below.
Probability for each lotto games:
The total number of combinations is determined by raising the number of possible values for each digit to the power of the number of digits.
General Formula: C(n, k) = n! / [k! * (n - k)!]
where:
- n! (n factorial) is the product of all positive integers less than or equal to n.
For example, 5! = 5 * 4 * 3 * 2 * 1 = 120. - k! (k factorial) is the product of all positive integers less than or equal to k.
Applying the Formula to Lottery Games
In a 6/49 lottery, for example, you choose 6 numbers from a pool of 49.
- n = 49 (total number of possible numbers)
- k = 6 (number of numbers to be chosen)
Therefore, the total number of possible combinations is:
C(49, 6) = 49! / (6! * (49 - 6)!) = 49! / (6! * 43!) = 13,983,816
| Lottery Game | Combinations |
|---|---|
| Ultra Lotto 6/58 | 40,475,358 |
| Grand Lotto 6/55 | 28,989,675 |
| Super Lotto 6/49 | 13,983,816 |
| Mega Lotto 6/45 | 8,145,060 |
| Lotto 6/42 | 5,245,786 |
| 6D Lotto | 1,000,000 |
| 4D Lotto | 10,000 |
| 3D Lotto | 1,000 |
| 2D Lotto | 961 |
These results represent the odds of selecting the exact correct combination for each lottery setup. If your lottery has specific rules (e.g., no duplicate digits, certain combinations are invalid, or specific sequences are excluded), then the total number of combinations would need adjustment however as far as I know there no such rules implemented on PCSO lotto yet.
The odds may seem slim, right? But you can explore our analytics for real-time data on how much people are winning in each lotto game, along with valuable insights from our team. We hope to be of help to you all!
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