SOLUTION: 60 students pass the maths exam and 50 pass the english exam. 10 students pass in neither of the exams and 50% passed both the exams. What is the probability that a student selecte

Question 388799: 60 students pass the maths exam and 50 pass the english exam. 10 students pass in neither of the exams and 50% passed both the exams. What is the probability that a student selected at random passed in maths?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let N = total # of students.
Then = # students who passed BOTH math and english,
= # students who passed english but not math, and
= # students who passed math but not english.
Hence
,
,
, or N = 80, the total number of students.
Therefore the probability that a student selected at random passed in maths is 60/80, or 3/4.
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