SOLUTION: In an examination 70% of the candidates passed in English, 65% in mathematics, 27% failed in both the subjects. Find the probability that a student selected at random has passed in

Question 388807: In an examination 70% of the candidates passed in English, 65% in mathematics, 27% failed in both the subjects. Find the probability that a student selected at random has passed in both the subjects
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
To understand this a Venn diagram should be used.
.70+.65+.27=1.62
Since the probability of passing E only + M only + both E & M + neither E nor M must add up to 1 then P(EnM)=.62 ANSWER
(P(E)=.08 + P(M)=.03 + P(EnM)=.62 + P(EnM)'=.27) = 1.00
.
Ed
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