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2.3 An analysis of personal loans at a local Rural Bank revealed the following facts: - 10% of all personal loans are in default (D),

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2.3 An analysis of personal loans at a local Rural Bank revealed the following facts: - 10% of all personal loans are in default (D), - 90% of all personal loans are not in default (DC), - 20% of those in default are homeowners (H | D), and - 70% of those not in default are homeowners (HDC). If one of the personal loans is selected at random and was found to be a homeowner, find the probability that it is in default

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