Question

Three persons A, B and C are competing for the post of CEO of a company. The chances of they becoming CEO are 0.2, 0.3 and 0.4 respectively. The chances of they taking employees beneficial decisions are 0.50, 0.45 and 0.6 respectively. What are the probabilities of chances of having employees' beneficial decisions after having A as new CEO, Similarly B, Similarly C

Answer 1

Given :  Three persons A, B and C are competing for the post of CEO of a company. The chances of they becoming CEO are 0.2, 0.3 and 0.4 respectively. The chances of they taking employees beneficial decisions are 0.50, 0.45 and 0.6 respectively.

To Find :  the probabilities of chances of having employees' beneficial decisions after having A as new CEO, Similarly B, Similarly C

Solution:

A becoming CEO and   taking employees beneficial decisions  = (0.2)(0.5)

= 0.1

B becoming CEO and   taking employees beneficial decisions  = (0.3)(0.45)

= 0.135

C becoming CEO and   taking employees beneficial decisions  = (0.4)(0.6)

= 0.24

taking employees beneficial decisions = 0.1 + 0.135 + 0.24  =   0.475

probabilities of chances of having employees' beneficial decisions after having A as new CEO  =   0.1 / 0.475  =   0.211

probabilities of chances of having employees' beneficial decisions after having B as new CEO  =   0.135 / 0.475  =   0.284

probabilities of chances of having employees' beneficial decisions after having C as new CEO  =   0.24 / 0.475  =   0.505

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