"I am playing a fair even money game flipping coins.
My opponent cannot quit. I intend to quit any time I
get one bet ahead. Do I have an advantage?"
Bard:
Yes, you do have an advantage in this scenario. Here's why:
Limited downside: Since you are guaranteed to quit after winning
one bet, your maximum possible loss is limited to losing your initial bet.
Unlimited upside: Your potential winnings, on the other hand, are
unlimited. As long as you keep winning individual flips, you can
keep doubling your money.
Probability still in your favor: Each coin flip is still a 50/50 chance
of winning, favoring you just like even-money odds suggest. So,
statistically speaking, you're more likely to win any individual flip
than lose it.
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