re: Please answer the following math/philosophy question

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If something has a 25% chance of occurring once, then doesn't, it still has a 25% chance the next attempt. Previous failure doesn't affect future chances.

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You would be partially correct. If you flip a simple coin the previous outcomes don't have an influence on the next outcome.

But if you were to flip a coin 9 times, the probability of you hitting tails one time out of any of those 9 times certainly isn't 50% Only the individual attempts are 50%

With the passage of time you could essentially look at it as repeated attempts.