eli5: Probability of 4 holes in one in golf

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I read in a paper that the chance of getting a hole in one are 12,500 to 1. The article continued that to get 4 holes in one is (1/125000) to the power of four.

Why does the chance decrease per attempt? The universe doesn’t know you’ve had one or two or three results already so why are increasing holes in one less likely?

I see that intuitively this might be the case, but I’m not fully convinced. Part of me believes that the chance of getting any number of holes in on should be 12,500 to 1.

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Anonymous 0 Comments

Think of it like a combination lock. If the lock will open if you select the correct number out of 125,000 numbers, you have a 1/125,000 chance of guessing it. If you needed to select two separate numbers as the combination, it would be 1/(125,000)^2.
For each digit you picked for the first number, you would have to go through every digit for the second number.
1/1, 1/2, 1/3….3452/1, 3452/2…

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