Question
Download Solution PDFThe probability of three persons A, B and C becoming clerks of a certain administrative office are 3 ∶ 2 ∶ 4. The probabilities that incentive will be introduced if they become clerks are 0.4, 0.5 and 0.3, respectively. If the incentive has been introduced, then what is the probability that C is appointed as the clerk?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Let the events be described as below:
A: The incentive has been introduced
E1: Person A appointed as the clerk
E2: Person B appointed as the clerk
E3: Person C appointed as the clerk
The probability of three persons A, B, and C becoming clerks of a certain administrative office are 3 ∶ 2 ∶ 4.
Hence,
The probabilities that incentive will be introduced if they become clerks are 0.4, 0.5, and 0.3, respectively.
Hence,
∴
∴ the required probability is
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