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Take a look at Hypergeometric distribution and you can find where I get about 70% chance.
If it's too complex, you can use EXCEL with formula HYPGEOMDIST using those inputs:
(x,12,5,60)
with x=1...5
and summing the 5 results: 0,427529959+0,209014646+0,045437967+0,004350444+0,000145015 = about 68%