SOLUTION: THREE SECRETARIES, S1, S2, AND S3 DO OFFICE WORK FOR A COMPANY, MAINLY FILLING PAPERS, OF ALL THE PAPERS THA COME INTO THE OFFICE, S1 FILES 50%, S2 FILES 30% AND S3 FILES THE

Algebra ->  Permutations -> SOLUTION: THREE SECRETARIES, S1, S2, AND S3 DO OFFICE WORK FOR A COMPANY, MAINLY FILLING PAPERS, OF ALL THE PAPERS THA COME INTO THE OFFICE, S1 FILES 50%, S2 FILES 30% AND S3 FILES THE       Log On


   

Question 1084728: THREE SECRETARIES, S1, S2, AND S3
DO OFFICE WORK FOR A COMPANY,
MAINLY
FILLING PAPERS, OF ALL THE PAPERS THA
COME INTO THE OFFICE, S1 FILES 50%,
S2 FILES 30% AND S3 FILES THE
REST.EACH SECRETARY OCCASIONALLY
MISFILES A
PAPER S1 MISFILES 5% OF THE PAPERS
SHE FILES, S2 MISFILES 7% OF THE
PAPERS
SHE FILES AND S3 MISFILES 10% OF THE
PAPERS SHE FILES. THE MANAGER HAS
BEEN
LOOKING FOR A PARTICULAR PAPER AND
HAS FOUND THAT IT HAS BEEN MISFILED.
HE
DECIDES TO GIVE WARNING TO THE ONE
WHO MOST LIKELY FILED IT. WHO MOST
LIKELY FILED IT? DRAW A TREE DIAGRAM
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
First, we find who misfiles most by multiplying the percent each person files by the percent they misfile:
S1=.5x.05=.025
S2=.3x.07=.021
S3=.2x .1=.020
It is apparent that of the three, S1 is the most likely to have misfiled the paper. ☺☺☺☺