SOLUTION: : In a college 25% of students have failed their Math 15% failed Chemistry and 10% failed both Math and Chemistry classes. If a student is selected at random and: a) He/she has

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Question 1131715: : In a college 25% of students have failed their Math 15%
failed Chemistry and 10% failed both Math and Chemistry
classes. If a student is selected at random and:
a) He/she has failed Chem class, what is the probability that
he/she also has failed Math class?
b) What is the probability that he/she has failed Math or
Chem Class?
c) What is the probability that he/she has failed neither Math
nor Chem class?
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.
a)  P =  =  =  = 0.6667 = 66.67%  (approx.)


b)  P = P(M) + P(C) - P(M n C) = 0.25 + 0.15 - 0.10 = 0.30 = 30%.


c)  P = the COMPLEMENT to b) = 1 - 0.3 = 0.7 = 70%.

Answered and solved.


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