In a class of 60 students, 10 were considered to be intelligent, 35 as average and the rest below average. The probability that a very intelligent student fails in a viva voce exam is 0.005, an average student fails at 0.05 and a below average student fails at 0.15. If a student is known to have failed the viva voce, what is the probability that he is an average student?
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