Three machines P1 P2 and P3 in a certain factory produce 50%. 50% and 25%, respectively, of the total daily output of electric tubes. It is known that 5% of the tubes produced by each of the machines P1 and P2 are defective and that 4% of those produced on P3 are defective. If one tube is picked up at random from a day's production, calculate the probability that the defective tube was produced on machine P1.
a. 9/7
b. 8/7
c. 6/7
d. 5/7
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