SOLUTION: 100 candidates sat for a examination ,60 pass bio,50 pass che and 29 pass phy. all passed atleast one of theree subjects, 17 pass both bio and che, 15 pass both bio and phy and 12

Algebra ->  Probability-and-statistics -> SOLUTION: 100 candidates sat for a examination ,60 pass bio,50 pass che and 29 pass phy. all passed atleast one of theree subjects, 17 pass both bio and che, 15 pass both bio and phy and 12       Log On


   



Question 437246: 100 candidates sat for a examination ,60 pass bio,50 pass che and 29 pass phy. all passed atleast one of theree subjects, 17 pass both bio and che, 15 pass both bio and phy and 12 pass both che and phy. Draw a venn diagram to illustrate the problem.
if a candidate is chosen at random, what is the probability that he pass exacty one subject?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
51 out of the 100 passed exactly one
P = 51/100
Total bio/chem bio/phys chem/phys only subject/left
bio 60 17 15 28
chem 50 17 12 21
phys 29 15 12 2
17 + 15 + 28 = 60
17 + 12 + 21 = 50
15 + 12 + 2 = 29