Information about the lottery
Rules. The Powerball lottery is played in a format of 6 out of 40 + 1 out of 10 . There are 38,383,800 different combinations of ball draws in the lottery. The probability of winning the jackpot is 1 out of 38,383,800, but besides the jackpot, there are several other secondary prize categories, and the maximum chance of winning a secondary prize is 1 out of 35. To increase your chances of winning, use Wheeling systems .
What you can win
| Prize category | You need to guess | Prize |
|---|---|---|
| 1 | 6+1Powerball | Jackpot |
| 2 | 6 | 500,000 |
| 3 | 5+1+1Powerball | 27,800 |
| 4 | 5+1 | 16,500 |
| 5 | 5+1Powerball | 1,300 |
| 6 | 5 | 650 |
| 7 | 4+1+1Powerball | 100 |
| 8 | 4+1 | 55 |
| 9 | 4+1Powerball | 50 |
| 10 | 4 | 30 |
| 11 | 3+1+1Powerball | 38 |
| 12 | 3+1 | 22 |
| 13 | 3+1Powerball | 17.8 |
| 14 | 3 | 2.8 |
Take a look at the odds of winning a prize in the corresponding category.
New Zealand Powerball lottery analysis
The probability of winning in the New Zealand Powerball lottery with a format of 6 out of 40 + 1 out of 10 is 1 in 38,383,800.
Number of all numbers in Field № 1: 40. Sum of all numbers in Field № 1: 820. Number of all even numbers in Field № 1: 20. Sum of all even numbers in Field № 1: 420. Number of all odd numbers in Field № 1: 20. Sum of all odd numbers in Field № 1: 400.
Minimum possible sum of numbers in a combination (Field № 1): 21. Maximum possible sum of numbers in a combination (Field № 1): 225.
Number of all numbers in Field № 2: 10. Sum of all numbers in Field № 2: 55. Number of all even numbers in Field № 2: 5. Sum of all even numbers in Field № 2: 30. Number of all odd numbers in Field № 2: 5. Sum of all odd numbers in Field № 2: 25.
Minimum possible sum of numbers in a combination (Field № 2): 1. Maximum possible sum of numbers in a combination (Field № 2): 10.
Between the minimum and maximum possible sums of numbers in a combination lies a point corresponding to the estimation of the mathematical expectation.
For balls in Field № 1 it's 123. For balls in Field № 2 it's 6.
In practice, this means that with a very large number of draws, sums of numbers close to the mathematical expectation will most often occur, while sums close to the minimum or maximum will occur less frequently. The frequency distribution graph of the sums will tend towards a normal distribution.