Random address creation

A theoretical question to learn a little more.

What are the chances that when I create a random address it already exists?

addresses are 160 bits long. that would be 1 / 2^160 or ~ 1 / 10^48.16

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the chances are very very very tiny, but it can still happen.

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Like the guy who mined a block with his modest computer.
Highly improbable, but it happened:

tiny-bitcoin-miner-defies-massive-odds-to-solve-a-valid-block
In that case, would we have two users with the same account?

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It is a possibility.

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the blog outlines that the chance of hitting a block with this hashrate is about 1 in 1,400,000
your chance of getting a random wallet is 1/10^48.16

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