Javascript is required
Australia Powerball Lotto

Rules. The Powerball Lotto lottery is played in a format of 7 out of 35 + 1 out of 20 . There are 134,490,400 different combinations of ball draws in the lottery. The probability of winning the jackpot is 1 out of 134,490,400, but besides the jackpot, there are several other secondary prize categories, and the maximum chance of winning a secondary prize is 1 out of 66. To increase your chances of winning, use Wheeling systems .

## What you can win

Distribution of prizes by categories in the Australia Powerball Lotto lottery
Prize categoryYou need to guessPrize
17+1Powerball40
271.1
36+1Powerball1.1
462
55+1Powerball1.5
659.7
74+1Powerball7.6
83+1Powerball15
92+1Powerball22

Take a look at the odds of winning a prize in the corresponding category.

## Australia Powerball Lotto lottery analysis

The probability of winning in the Australia Powerball Lotto lottery with a format of 7 out of 35 + 1 out of 20 is 1 in 134,490,400.

Number of all numbers in Field № 1: 35. Sum of all numbers in Field № 1: 630. Number of all even numbers in Field № 1: 17. Sum of all even numbers in Field № 1: 306. Number of all odd numbers in Field № 1: 18. Sum of all odd numbers in Field № 1: 324.

Minimum possible sum of numbers in a combination (Field № 1): 28. Maximum possible sum of numbers in a combination (Field № 1): 224.

Number of all numbers in Field № 2: 20. Sum of all numbers in Field № 2: 210. Number of all even numbers in Field № 2: 10. Sum of all even numbers in Field № 2: 110. Number of all odd numbers in Field № 2: 10. Sum of all odd numbers in Field № 2: 100.

Minimum possible sum of numbers in a combination (Field № 2): 1. Maximum possible sum of numbers in a combination (Field № 2): 20.

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 126. For balls in Field № 2 it's 11.

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.