How to gamble and make money?

balance	withdrawal & bet	result	fail debt
0	1	fail	1
-1	2	fail	3
-3	6	fail	9
-9	18	fail	27
-27	54	fail	81
-81	162	fail	243
-243	486	pass	x
243

I think it's better to view it this way:

bet	debt-result	win-total-result	probability of winning
1	1	2	p
2	3	1	p
6	9	3	p
18	27	9	p
54	81	27	p
162	243	81	p
486	729	243	p

Problem being, it's a higher chance to lose money than earn. That means that you will on average lose money instead of earning it.

It's easier than the "If you flip a coin until you get heads, I will give you dollars, where n is the amount of tails you got in a row" though. You could try to find the expectation-value of that one!

Noah