SOLUTION: The probability that a management trainee will remain with a company is 0.6.The probability of an employee earning more than Rs 10000 per year is 0.5. The probability that an emp

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Question 1183409: The probability that a management trainee will remain with a company is 0.6.The
probability of an employee earning more than Rs 10000 per year is 0.5. The
probability that an employee is a management trainee who remained with the
company or who earns more than Rs. 10000 per year is 0.70. What is the probability
that an employee earns more than Rs a 10000; per year given that he is a
management trainee who stayed with the company?
Answer by ikleyn(52809) About Me  (Show Source):
You can put this solution on YOUR website!
.

Use this probability identity


    P(A U B) = P(A) + P(B) - P(A and B).


In your case it becomes


    0.7 = 0.6 + 0.5 - P(A and B)


and gives


    P(A and B) = 0.6 + 0.5 - 0.7 = 0.4.      ANSWER

Solved and explained.