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Of the bad customer loans of a bank, 20% is due to cause d1, 30% to cause d2 and 50% to cause d3. 30% of

Of the bad customer loans of a bank, 20% is due to cause d1, 30% to cause d2 and 50% to cause d3. 30% of those with cause d1 are 'cured', 20% of those with cause d2 and 40% of those with cause d3. Calculate the probability that a customer who had a bad loan and was cured, had cause d1.

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