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In an office 3 person A, B, and C apply for a job of manager in a private company. Chances of the selection are in the ratio 1: 2:4. The probability that A, B and C can introduce changes to improve profits of company are 0.8, 0.5 and 0.3 respectively, if the changes does not take place, find the probability that it is due to the appointment of C.

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Final answer:

To find the probability that the changes do not take place due to the appointment of C, we need to calculate the probability that C is selected for the job. The chances of selection are in the ratio 1:2:4, which means the probability of C being selected is 4/7.

Step-by-step explanation:

To find the probability that the changes do not take place due to the appointment of C, we need to calculate the probability that C is selected for the job. The chances of selection are in the ratio 1:2:4, which means the probability of C being selected is 4/(1+2+4) = 4/7.

Therefore, the probability that the changes do not take place due to the appointment of C is 1 - 0.3 = 0.7.

To find the probability that the changes do not take place due to the appointment of C, we need to calculate the probability that C is selected for the job. The chances of selection are in the ratio 1:2:4, which means the probability of C being selected is 4/7.

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