Question
Download Solution PDFComprehension
Consider the following for the two (02) items that follow:
The probabilities that A, B and C become managers are 3/10 1/2 and 4/5 respectively. The probabilities that bonus scheme will be introduced if A, B and C become managers are 4/9, 2/9 and 1/3 respectively.
What is the probability that the bonus scheme will be introduced?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Given,
The probability that A , B , and C become managers are:
The conditional probabilities that the bonus scheme is introduced are:
The total probability that the bonus scheme will be introduced is given by:
Substituting the values:
Now, simplifying the terms:
The least common denominator (LCD) is 90. So:
Adding the fractions gives:
Hence, the correct answer is Option 3.
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