## All numbers and combinations in the Powerball game have the same probability

It’s very important to keep in mind that all numbers have the same probability. This is always true no matter what the frequency of each number has been. In short, there are no “hot” and “cold” numbers.

And there are no “lucky” and “unlucky” numbers.

The same mathematical rules apply to all combinations. A combination such as 1-2-3-4-5 is equally likely as any other in the universe of 292 million Powerball combinations.

Now, if all numbers and combinations have the same probability, how does Lotterycodex separate the best combinations from the worst ones?

Well, the simple answer is understanding the concept of odds.

While you may be familiar with the concept of probability, the majority of us are not familiar with the concept of odds.

Odds and probability are two different concepts. They are not mathematically equivalent.

The two equations below will describe the difference between odds and probability.

Let me translate this in plain English.

Probability refers to the measurement of a likelihood that an event will occur.

While odds refer to the ratio of success to failure.

So in short, you cannot change the underlying probability and no one has the power to change a mathematical calculation.

And similarly, you cannot beat the odds of any game because whatever you do, you the odds will never change.

BUT, here’s the thing.

As a player, you have the power to choose.

And we can use mathematics to calculate all the possible choices and then make an intelligent choice to get “the best ratio of success to failure.“

As a lotto player, your objective is to make sure that you are not mathematically wrong for the majority of the time.

For example, in a Powerball game, there are 278,256 ways you can combine numbers composed of even numbers (no odd numbers).

0-odd-5-even combination = 278,256 ways you can do this.

There are exactly 11,238,513 ways you can combine pick-5 combination from 69 numbers.

Therefore, the odds of a 0-odd-5-even combination is:

Odds of 0-odd-5-even = 278,256 / 10960257

This means that when you pick numbers based on this type of pattern 0-odd-5-even, your ratio of success is 1 in 39. In short, you get only 2 to 3 opportunities to get closer to the winning numbers for every 100 times you play the lottery.

Now, let’s talk about a more balanced type of combination such as a 3-odd-2-even.

There are 3,671,745 ways you can combine a 3-odd-2-even type of combinations.

3-odd-2-even = 3,671,745 ways you can do this combination.

Therefore, the odds for this type of pattern is:

Odds of 3-odd-2-even = 3,671,745 / 7,566,768

The odds mean that you get 32 to 33 more opportunities to match the winning numbers for every 100 attempts you play the Powerball game.

0-odd-5-even | 3-odd-2-even |

2 to 3 opportunities to match the winning numbers in every 100 draws | 32 to 33 opportunities to match the winning numbers in every 100 draws |

VERY HIGH RATIO OF FAILURE | VERY HIGH RATIO OF SUCCESS |

Truly, you can see the difference when you calculate the possibilities because by then you know how to make an intelligent decision.

This is how Lotterycodex works.

Knowing the composition of your combination matters to determine the exact ratio of success to failure.

And the best way to analyze the composition of combination is through combinatorial patterns.

So now, let’s discuss the importance of combinatorial patterns.

## New Zealand Powerball

- The first historical draw of New Zealand Powerball took place in 2001. Since then, the rules of the lottery have changed a little with the aim of improving the conditions for participants in the draws. In particular, the size of the minimum guaranteed jackpot has been increased.
- Information on the main features of NZ Powerball:

- Lottery players have to select six numbers from 1 to 40 from the main set of numbers and one additional number between 1 and 10;
- The minimum jackpot is NZD 4 million (approximately 2.6 million US dollars);
- National Lottery NZ runs twice a week — on Wednesdays and Saturdays;
- The odds of of winning the minimum prize of the last category are 1:38.

Since the launch of the lottery, the maximum size of the NZ Powerball jackpot has been NZD 44 million.

## Predicting the future of Powerball game

Now that you know that Powerball is subordinate to the principle of probability, you can then predict the outcome of the game in the future.

Here’s the possible outcome of Powerball in 1000 draws using the odd-even patterns.

Patterns | Probability | Expected Frequency |
---|---|---|

3-odd-2-even | 0.326710926970499 | 327 |

2-odd-3-even | 0.31681059585018 | 317 |

4-odd-1-even | 0.15840529792509 | 158 |

1-odd-4-even | 0.144428359872876 | 144 |

5-odd-0-even | 0.0288856719745753 | 29 |

0-odd-5-even | 0.0247591474067788 | 25 |

And here’s the possible outcome of Powerball in 1000 draws using the low-high patterns.

Patterns | Probability | Expected Frequency |
---|---|---|

3-low-2-high | 0.326710926970499 | 327 |

2-low-3-high | 0.31681059585018 | 317 |

4-low-1-high | 0.15840529792509 | 158 |

1-low-4-high | 0.144428359872876 | 144 |

5-low-0-high | 0.0288856719745753 | 29 |

0-low-5-high | 0.0247591474067788 | 25 |

The key takeaway here is simple. You don’t want to waste your money on patterns like 5-low-numbers, 5-high-numbers, 5-odd-numbers, or the 5-even-numbers.

So to get the best shot possible, you follow the 3-odd-2-even, 2-odd-3-even, 3-low-2-high, and 2-low-3-high patterns.

However, with odd-even and low-high patterns having two separate analyses have an unacceptable disadvantage.

Let me explain.

We already know that the combination 1-2-3-4-5 is one of the worst combinations under low-high patterns. However, our odd-even analysis doesn’t agree with this analysis.

Combination | According to low-high analysis | According to odd-even analysis |

1-2-3-4-5 | WORST | BEST |

As you can see when we deal with two separate analyses, we get contradicting results.

To solve this contradiction mathematically, we have to combine the two analyses into one probability analysis to arrive at a very conclusive result.

And here’s how Lotterycodex patterns are invented.

You see, the Powerball lotto is not about just odd-even patterns or low-high patterns. Within the 69 balls of the Powerball game lies complex patterns, which are the key to your lottery success.

Lotterycodex patterns are the results of an advanced combinatorial design that puts all the four factors (odds, even, low, and high numbers) together in one equation.

Let’s discuss how these advanced Lotterycodex patterns may help you get the best shot possible in the game of Powerball with 292 million combinations.

## South Africa Powerball

- South Africa Powerball was launched in 2009, with the first game of this most famous Africa lottery, which soon gained an enviable popularity in many countries around the world.
- Key features of SA Powerball:

- Players have to select five numbers from 1 to 50 from the first block of numbers and a single number between 1 and 20 from an additional block of numbers;
- The minimum National Lottery SA jackpot is ZAR 3 million, equivalent to approximately $175,000 US;
- Powerball Lotto South Africa draws are held twice a week — on Tuesdays and Fridays;
- The odds of winning the minimum lottery prize of the last category are 1:35.

The maximum size of the jackpot played in the entire history of the African version of the lottery was ZAR 103 million.

## How To Win The Powerball 5/69 Game

I always recommend Powerball players to play with a lotto strategy. Focus on the best patterns and avoid the worst ones.

To make your game much simpler, use our lottery calculator.

This Powerball calculator will open your eyes to what works and whatnot.

One of the best features of this calculator is the number generator, so you don’t have to go into the trouble of complex calculations.

But the concept of combinatorial pattern is just one of the many lottery tips you will learn here. Of course, the advanced strategy is discussed in the free guide section where I reveal the winning formula of combinatorics and probability theory.

Take time to enrich your knowledge of a mathematical lotto strategy. Please check out more articles in the blog section that will be helpful for you:

See my post about how a lottery wheel and number patterns work together.

Get to know the many unscientific lotto strategies that don’t work.

And learn how to use math to play lotto with the best shot possible.

Let me know your thoughts. Please join the conversation by adding your comments below. Thank you for reading.