Join Sarthaks eConnect Today - Largest Online Education Community!
0 votes
asked in Mathematics by (5.8k points)

Three persons A, B and C apply for a job of Manager in a Private company. Chance of their selection (A, B and C) 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.

1 Answer

+1 vote
answered by (11.6k points)
selected by
Best answer

Let the events be described as below :

A : No change takes place

E1 : Person A gets appointed

E2 : Person B gets appointed

E3 : Person C gets appointed

The chances of selection of A, B and C are in the ratio 1 :2: 4.


Probabilities of A, B and C introducing changes to improve profits of company are 0.8, 0.5 and 0.3 respectively. 

Hence probability of no changes on appointment of A, B and C are  0.2, 0.5 and 0.7 respectively.


.'.   If no change takes place, the probability that it is  due to appointment of C is 7/10.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon