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At Cornell School, all first year students must take chemistry and math. Suppose 25% fail in chemistry, 18% fail in math, and 9% fail in both. Suppose a first year student is selected at random. What is the probability that student selected failed at least one of the courses?(a) 0.22 (b) 0.34 (c) 0.45 (d) None of these |
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Answer» Correct option (b) 0.34 Explanation: To Solve this problem use Additive law of Probability. P(A∪B)=P(A)+P(B)-P(A∩B) P(C) = 0.25 P(M) = 0.18 P(C∩M) = 0.09 P(at least one) = P(C or M) = P( C ∪ M) = 0.25 + 0.18 - 0.09 = 0.34 |
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