Question
In a certain class, 30%of the students failed in Mathematics, 20% failed in Chemistry, 15% failed in Physics, 10% failed in both Math and Chem,
In a certain class, 30%of the students failed in Mathematics, 20% failed in Chemistry, 15% failed in Physics, 10% failed in both Math and Chem, 5%failed in both Math & Physics, 6 %failed in Chem only and3% failed in Math, Physics & Chem.A student in this class is chosen at random,a. If he failed in Math , what is the probability that he also failed in Chem? b. If he failed in Chem, what is the probability that he also failed in Physics? c. If he failed in Physics , what is the probability that he also failed inChem?d. If he failed in Chem, what is the probability that he did notfailin Math?e. If he did notfail in Math , what is the probability that he also did notfailin Physics?f. If he failed in Chem & Physics, what is the probability that he did notfailin Math?g. If he did not fail in Chem, what is the probability that he did notfailin Math& Physics?
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