Question
Max has a 1/4 chance of failing
his Quant test and a 4/5 chance of passing his Reasoning test. What is the probability that he fails exactly one of the two tests?Solution
ATQ, Probability that Max fails Reasoning test = 1 - (4/5) = (1/5) Probability that Max pass the Quant test = 1 - (1/4) = (3/4) So, required probability = Probability that Max fails his Quant test but not Reasoning test + Probability that Max fails his Reasoning test but not Quant test. = {(1/4) × (4/5)} + {(3/4) × (1/5)} = (1/5) + (3/20) = {(4 + 3)/20} = (7/20)
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