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Out of the adult population in a village...

Out of the adult population in a village `50%` are farmers, `30%` do business and `20%` are service holders. It is known that `10%` of the farmers, `20%` of the business holders and `50%` of service holders are above poverty line. What is the probability that a member chosen from any one of the adult population, selected at random, is above poverty line?

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Out of the adult population in a village 50% are farmers, 30% do business and 20% are service holders. It is known that 10% of the farmers, 20% of the business holders and 50% of service holders are above poverty line. If a member from any one of the adult population of the village, chosen at random, happens to be above poverty line, then estimate the probability that he is a farmer.