Daily Maths Challenges

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Coin-flipping game (lemmy.world)

submitted 6 months ago* (last edited 6 months ago) by zkfcfbzr@lemmy.world to c/dailymaths@lemmy.world

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We're playing a game. I flip a coin. If it lands on Tails, I flip it again. If it lands on Heads, the game ends.

You win if the game ends on an even turn, and lose otherwise.

Define the following events:

A: You win the game

B: The game goes on for at least 4 turns

C: The game goes on for at least 5 turns

What are P(A), P(B), and P(C)? Are A and B independent? How about A and C?

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[–] Enkers@sh.itjust.works 3 points 6 months ago

after flipping a quarter 20 times and getting Tails every time, I'd be inclined to keep flipping if anything.

It's a sunk cost fallacy, it's never too late to get bored and give up. ;)