The IRS has a group of 45 tax returns, 15 of which contain errors. An IRS auditor randomly selects 3 tax returns from this group. What is th

Question

The IRS has a group of 45 tax returns, 15 of which contain errors. An IRS auditor randomly selects 3 tax returns from this group. What is the probability the auditor selects none of those containing errors? Round to four decimal places.

0

Answers ( No )

    0
    2021-09-19T07:06:03+00:00

    Answeeeeeerrrrr

    0.2861

    0
    2021-09-19T07:06:13+00:00

    Out of 45, there are 45-15=30 that do not contain errors.

    If the auditor randomly selects 3 returns, without replacement, then
    P(1)=30/45,
    for the second one, there will be 29 correct returns out of 44, so
    P(2)=29/44
    Similarly,
    P(3)=28/43
    Therefore, by the multiplication rule, the probability of selecting 3 correct returns is the product
    P(1)*P(2)*P(3)=30*29*28/(45*44*43)=406/1419

Leave an answer

Browse
Browse