Find the probability
-An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of which 11 Contain errors. What is the probability that she selects none of those containing errors?
A) 0.4403
B) 0.0102
C) 0.0128
D) 0.4494

Question

Find the probability
-An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of which 11 Contain errors. What is the probability that she selects none of those containing errors?
A) 0.4403
B) 0.0102
C) 0.0128
D) 0.4494

Quizplus · Accepted Answer

The probability of selecting 3 returns without errors from 47 total returns, where 11 contain errors, is calculated using combinations. There are 36 returns without errors, so the number of ways to choose 3 of these is 36C3. The total number of ways to choose any 3 returns from 47 is 47C3. The probability is the ratio of these two combinations: (36C3) / (47C3) = 0.4403.

Find the Probability -An IRS Auditor Randomly Selects 3 Tax Returns (Without Replacement)