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With every human on Earth, all generating a new address every second it would still take about 6.5 billion years in order for there to be a 50/50 chance of a bitcoin address collision.- snip -
I get slightly different numbers.
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While an address collision is so unlikely that it can be considered, for all practical purposes, impossible...
An address collision is also meaningless unless there are actually bitcoins associated with the address.
Since there can't be more than
*2,099,725,475,406,004 (approximately 2.1 X 10
15) addresses at any moment in time that simultaneously have any unspent outputs associated with them, please recalculate your odds taking into consideration the chance of a
meaningful collision occurring.
* See https://en.bitcoin.it/wiki/Controlled_supply and https://bitcointalk.org/index.php?topic=675321.msg7647669#msg7647669