A IRS auditor randomly selects 3 tax returns from 58 returns

A IRS auditor randomly selects 3 tax returns from 58 returns of which 8 contain errors. What is the probability that she selects none of those containing errors.

Solution

There are 58C3 ways to choose any 3 tax returns.

Also, there are 50C3 ways to choose those without errors.

Hence,

P = (50C3) / (58C3) = 0.635208711 [ANSWER]