If you predict heads/tails in the coin toss correctly, you earn $5.
You know the coin is weighted so that it comes up heads 52% of the time.
You call heads/tails for 1000 coin tosses.
If you wanna maximize your money, what % of the time do you call heads?
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Few things in life are proven by math, but I’m 100% certain that the correct answer is 100%.
Past performance doesn’t affect future results. Each toss is independent and has a 52% chance of being heads.
Therefore the correct answer is always to choose heads.
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Each time the coin is flipped, it stays 52%. So, after 1000 times, the percentage is still 52%
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I dreaded clicking what I thought was the obvious answer. Seemed like a gotcha.
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How often will someone who calls heads 50% of the time end up beating someone who calls it 100%?
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100% because then i know i'll get about $2,500 and that's good enough for me
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I don't lose anything for being wrong.
I'll call the more likely option every time.
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