In a certain college, (25 %) of the students fail in mathematics, (15 %) of the students

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In a certain college, \(25 \%\) of the students fail in mathematics, \(15 \%\) of the students fail in chemistry, and \(10 \%\) of the students fail both in mathematics and chemistry. A student is selected at random.

(a) If the student failed in chemistry, what is the probability that the student also failed in mathematics?

(b) If he failed in mathematics, what is the probability that he failed in chemistry too?

(c) What is the probability that he failed both in mathematics and chemistry?

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