# Math Help - How to beat this system.

1. ## How to beat this system.

You can bet $30,000 MAX. You have$100 and $1,000 and$10,000 coins to use. There is no limit on how much to bet on each square (Except the $30,000 maximum betting amount). There are THREE dice. The numbers are generated randomly by a powerful random number generator. In each square there is a BIG number, followed by a X small number. The big number is for the sum of the dice. The small number is what you will win if you bet on this square. For example if you have a X 8 and you bet 10,000 in that square, you will win 10,000 * 8 >>> 80,000! If any triples are rolled (e.g 1,1,1) it'll be X 216! The SMALL square represents numbers from 3-10. The BIG square represents numbers 11-18. Anything put into these two boxes, you will win that much if correct. My question is how can you bet on all the squares in a way that you will always win something (Maximum win possible)? P.S the x 216 squares almost never happen. Same with x 72. The x 36 happens VERY rarely. 2. Originally Posted by ThisIsMyUserName You can bet$30,000 MAX. You have $100 and$1,000 and $10,000 coins to use. There is no limit on how much to bet on each square (Except the$30,000 maximum betting amount).

There are THREE dice. The numbers are generated randomly by a powerful random number generator.

In each square there is a BIG number, followed by a X small number. The big number is for the sum of the dice. The small number is what you will win if you bet on this square. For example if you have a X 8 and you bet 10,000 in that square, you will win 10,000 * 8 >>> 80,000! If any triples are rolled (e.g 1,1,1) it'll be X 216!

The SMALL square represents numbers from 3-10. The BIG square represents numbers 11-18. Anything put into these two boxes, you will win that much if correct.

My question is how can you bet on all the squares in a way that you will always win something (Maximum win possible)?

P.S the x 216 squares almost never happen. Same with x 72. The x 36 happens VERY rarely.

Well it is laborious but you have to check if any of the cells have an expected return for a unit stake greater than 1. I have checked a number and all those I have checked have an expected return less than the stake.

If this is true of all the cells then you cannot beat this game the expected return will be no greater than the stake for any play.

RonL

3. Well, I have already come up with a system myself, but it's only good for 6 squares. The suqares 8, 9, 10, 11, 12, 13 have the highest probability of coming up, so they have the lowest pay. I place 5K in each square and if they come up I get +10K to +20K. But sometimes the other squares come up and balances everything out. So I'm looking for some other method to take into account the other 8 squares. If the x 216 squares are left out it's no biggie, since they never come up. The big and small boxes don't make much of a difference either. So they're out also.

Well, I have already come up with a system myself, but it's only good for 6 squares. The suqares 8, 9, 10, 11, 12, 13 have the highest probability of coming up, so they have the lowest pay. I place 5K in each square and if they come up I get +10K to +20K. But sometimes the other squares come up and balances everything out. So I'm looking for some other method to take into account the other 8 squares. If the x 216 squares are left out it's no biggie, since they never come up. The big and small boxes don't make much of a difference either. So they're out also.
You need to show that the expected payout (that is the long run payout) exceeds the stake for this to be a (winning) system. You can't just wave your hands at it, you need to make the calculations.

RonL

You can bet $30,000 MAX. You have$100 and $1,000 and$10,000 coins to use. There is no limit on how much to bet on each square (Except the \$30,000 maximum betting amount).

There are THREE dice. The numbers are generated randomly by a powerful random number generator.

In each square there is a BIG number, followed by a X small number. The big number is for the sum of the dice. The small number is what you will win if you bet on this square. For example if you have a X 8 and you bet 10,000 in that square, you will win 10,000 * 8 >>> 80,000! If any triples are rolled (e.g 1,1,1) it'll be X 216!

The SMALL square represents numbers from 3-10. The BIG square represents numbers 11-18. Anything put into these two boxes, you will win that much if correct.

My question is how can you bet on all the squares in a way that you will always win something (Maximum win possible)?

P.S the x 216 squares almost never happen. Same with x 72. The x 36 happens VERY rarely.
Can you provide some context to this question? Is this a homework assignment or a real game?

RonL

6. It's a very small part of the game Conquer Online 2