A company employs three law firms to handle its legal cases. The probability that a case should be referred to office A is 0.3; that it is sent to office B is 0.5 and that it is sent to office C is 0.2. The probability that a case referred to office A will be won in court is 0.6; for office B this probability is 0.8 and for office C it is 0.7. Calculate the probability that the firm wins a case

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A company employs three law firms to handle its legal cases. The probability that a case should be referred to office A is 0.3; that it is sent to office B is 0.5 and that it is sent to office C is 0.2. The probability that a case referred to office A will be won in court is 0.6; for office B this probability is 0.8 and for office C it is 0.7. Calculate the probability that the firm wins a case.
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