Lotterycodex Mathematics Meets The Lottery

Play More Lines To Win The Lottery


The lottery is best played with a strategy. It’s like what you do when you play games; you do it with a strategy.  And that’s what fun is all about.

It’s hard to win the lottery if you just play one line. That’s a fact. You are just wasting your time and money if you keep on playing that way.

The main reason you want to play the lottery is to win.

And the best way to achieve that is to play as many lines as you can afford.

How the probability change when you buy many lines

For illustration, we will use the 6/49 lotto system with 13,983,816 possible combinations to choose from.

You buy one ticket, you have 1 in 13,983,816 chances.  So buy another ticket with a different combination and you have 2 in 13,983,816 chances.  And so on.

You buy all the possible number combinations and you are guaranteed to win the jackpot.  In probability theory, that is a measurement of 1 which means “certainty.”

The table below will show how the probability changes with many tickets:

Number of tickets to buy Probability of winning the jackpot (6/49 system)
1 0.0000000714286
2 0.0000001428571
4 0.0000002857143
8 0.0000005714286
10 0.0000007142857
100 0.0000071428571
1,000 0.0000714285714
10,000 0.0007142857143
100,000 0.0071428571429
1,000,000 0.0714285714286
10,0000,000 0.7142857142857
13,983,816 1 – Winning is certain

More tickets mean more chances of winning

That’s technically true.  Buying more lotto tickets does improve your chances of winning the jackpot.

But …

To be honest with you, we get two problems here:

  1. The increase in chance is too little to be excited about. The likelihood of hitting the jackpot is still incredibly low.
  2. From a financial perspective, buying more lines is likely a difficult one to do.  Pushing your chances further will eventually result in a negative expected value for each ticket that you buy.

As you can see, winning the lottery is not that easy even if you buy many tickets with different combinations.

The Solution

Now, it is where planning is so crucial for you as a lottery player.

I know how math works in the lottery.  And I will tell you right away that even with a mathematical strategy winning is still so hard to achieve.

For one thing, playing the lottery with more lines is not cheap.

So here’s the solution I recommend:

  • Stop playing every draw.  If you just play every draw with one line, you’re not going to make it.  If you are lucky, then you may hit it.  But from a mathematical perspective, it’s likely that the winner is going to be “not you.”
  • Determine how many lines you can afford to play.  If you can afford to play 10 lines, then that’s it.  If you can afford to play 100 lines, then be it.  Be consistent.
  • Save money until you reach the required amount to play your numbers.  Let’s say you receive your salary every week, and you plan to play 10 lines, then it’s going to take you 10 weeks before you can play.  If you plan to play 100 lines, then it’s going to take you 100 weeks to save money.

I know. It takes time in between play.  But that’s better “mathematically” than playing 1 line every draw for 20 years.

Alternatively, you can join a syndicate so you can cover as many lines as possible.  But that’s another topic we will talk about in a different article.

The Usual Caveats

Again, Lotterycodex is here to explain the mathematical side of the lottery.

Playing the lottery is just “FUN.”  Just keep that in mind.  Do play it just to entertain yourself.

Never never never think it’s going to provide you a full-time income.  And more importantly, don’t believe that it is the way to a better life. It’s not.

It’s possible that you win the life-changing jackpot, but it’s also possible that it’s not going to happen during your lifetime.  Think about that.

To be honest, investing in yourself is still my best recommendation.

If you have to play the lottery, then play for fun with the money you save for “entertainment purposes.”  But don’t forget to spend more money in your education, in your retirement plan, in your business.  That’s a sure way to a happy life free from financial worry.

Lotterycodex Mathematics Meets The Lottery

Ask Edvin

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Edvin Hiltner

I get a good grasp of mathematical theory through persistent learning. I get my inspirations from the works of Gerolamo Cardano and Renato Gianella in the fields of Combinatorics and Probability theory.

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