>>14212948OK Mathanons, mathlet here
If you have a series of fair coin tosses to bet on, where win = get double the bet and loss = lose your bet, is it not profitable in the end? Let's say you start with 500 bucks
If you bet 2, you can either lose 2 (498) or win 2 (502). Let's say you lose 2, you're at 498. Then you bet 4, so you can either go to 502 (again) or 494. You lose, you bet 8, you can get to 502 again or drop to 486.
But, ultimately, when you do so many coin tosses, does the likelihood of you winning at least once not exponentially increase? meaning it is ultimately highly likely you get up to 502? And make a profit by continuing to do this?