Will Ramsey be Fired?

Mr. Carter Arlington, a rich businessman, has an undependable servant, Ramsey. One day, Mr. Carter goes out for an important meeting to another country, instructing Ramsey to clean the mansion before he comes back. On returning, Mr.Carter finds that his his mansion was stinking. Find the probability that Ramsey did not clean the mansion.

Details

  • The probability that he forgets to clean the house is \(\frac{2}{3}\)

  • If the mansion is clean, the probability that it would stink is \(\frac{1}{2}\)

  • If it is not clean, the probability that it would stink is \(\frac{3}{4}\)

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