@layman,
layman wrote:
If I went into a casino in Vegas, put $100 down on the number 17 on a roulette wheel at 35-1, then just let my winnings ride, how much money would I have if number 17 came up 20 times in a row, I wonder?
Well I have had a run in with this experience. The last time I went to the casino I started at the roulette table and put $50 on black just to kick things off and the dealer made a mistake because it came up red but she paid me out anyways. So I was up 50 but I am a little superstitious so I felt guilty about taking those winnings so I decided to put $100 on the number 23 expecting to lose the 50 I had originally won plus another.
Such as I was gambling and in a turn of what should be considered absolute luck, it landed on 23 BAM! Now I wasn't stupid enough to keep placing the same bet on the same number because I know that statistically the odds are against me however; it is not impossible but highly unlikely.
Your question is actually a simple one. Take your original bet and multiply it by 35 twenty times. You could use algebra but taking a page from the book of Richard Feynman when you understand the maths, algebra is not necessary.
The number is huge. But to write it out it would be 100x35^20. Let's just say you would never have to work again and more than likely the casino wouldn't even be able to pay you out and would have to work out a payment plan.