Inertia Posted:

I was unsure about that but I thought:

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It can be done like that right?

sorry the drawing tablet is unplugged

Pretty much.

Let’s take the 50/50 chance. You lose the first one and you now have a 50% chance of making up the loss. If you miss the 2nd time, you have to win two times, aka two rounds of 50/50 chance, leaving you with a 25% chance of making up the whole thing. As you keep losing the chances of making it up shrinks. It’s easier to use exponents:

You lose 4 times with 50% chance, .5^4=.0625 or 6.25% chance of making up. Of course, there isn’t the factor of actually winning and not getting a straight loss streak. But you will eventually get to 4 losses or more, especially with Gamble-Bot’s rigged Blackjack.