SOLUTION: The University of Metropolis requires its students to pass an examination in college-level mathematics before they can graduate. The students are given three chances to pass the ex

Question 263636: The University of Metropolis requires its students to pass an examination in college-level mathematics before they can graduate. The students are given three chances to pass the exam; 61% pass it on their first attempt, 63% of those that take it a second time pass it then, and 42% of those that take it a third time pass it then.
What percent of the students are not allowed to graduate because of their performance on the exam? (Round the answer to the nearest whole number.)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The students are given three chances to pass the exam;
Assume there are 1000 applicants.
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61% pass it on their first attempt,
That leaves 1000-610 = 390
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63% of those that take it a second time pass it then,
0.63*390 = 245.7
That leaves 390-245.7 = 144.3
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42% of those that take it a third time pass it then.
0.42*144.3 = 60.06
That leaaves 144.3-60.06 = 83.69 students who have not passed the test
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What percent of the students are not allowed to graduate because of their performance on the exam?
% = 83.69/1000 = 0.08360 = 8%
=============================================
If you start with "x" students
Percent that fail after three tests = x*0.39*0.37*0.58 = 0.0837 = 8%
(Round the answer to the nearest whole number.)
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Cheers,
Stan H.
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