Single bet
- Input
- Powerball, 5 números + Powerball
- Expected output
- 1 em 292.201.338
It multiplies C(69,5) by the 26 possible Powerball outcomes.
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Powerball odds
On Powerball you always play 5 numbers + 1 Powerball (1 to 26), with no option to mark more numbers on the same ticket. The top-tier chance is 1 in 292,201,338, the toughest in this entire suite, because two separate urns get multiplied together.
It multiplies C(69,5) by the 26 possible Powerball outcomes.
Each extra ticket is one more combination, not a new combinatorial gain.
The most accessible tier requires none of the 5 main numbers.
With a simple 6-number bet, the odds of hitting the jackpot are 1 in 50,063,860. Marking more numbers raises the probability in proportion to the games covered.
The top-tier chance is 1 in 292,201,338, the result of multiplying C(69,5) by the 26 possible outcomes of the Powerball urn.
Because on top of an already large main urn (69 numbers), there is a second independent urn that multiplies the result by 26. Two multiplied urns weigh far more than one larger urn alone.
By multiplying two independent stages: C(69,5) for the 5 main numbers and 26 for the Powerball outcome.
No, every ticket is always a fixed 5 numbers plus 1 Powerball. The only way to increase your exposure is buying more separate tickets.
This lottery has a fixed bet of 5 numbers + 1 Powerball.
| Hits | Prize | Odds | Probability |
|---|---|---|---|
| 5 + Powerball | Jackpot | 1 in 292,201,338 | 3.42e-7% |
| 5 | $1,000,000 | 1 in 11,688,054 | 8.56e-6% |
| 4 + Powerball | $50,000 | 1 in 913,129 | 1.10e-4% |
| 4 | $100.00 | 1 in 36,525 | 2.74e-3% |
| 3 + Powerball | $100.00 | 1 in 14,494 | 6.90e-3% |
| 3 | $7.00 | 1 in 580 | 0.17% |
| 2 + Powerball | $7.00 | 1 in 701 | 0.14% |
| 1 + Powerball | $4.00 | 1 in 92 | 1.09% |
| 0 + Powerball | $4.00 | 1 in 38 | 2.61% |
This lottery draws two independent pools: the main numbers and the Powerball. Each tier’s chance is the product of both probabilities, which is why matching the numbers without the Powerball lands in a different tier.