Question: Topic: Statistical methods Three professors, Prof. Anand, Prof. Bhanu Prakash and Prof. Chandra Shekhar appear in an interview for the post of Managing Director in

Topic: Statistical methods

Three professors, Prof. Anand, Prof. Bhanu Prakash and Prof. Chandra Shekhar appear in an interview for the post of Managing Director in a reputed company. Their chances of getting selected are 2/9 , 4/9 and 1/3 respectively. The probabilities that they introduce a new policy in the company are 3/10, 1/2 and 4/5 respectively.

  1. What is the probability that new policy is introduced in the company?
  2. What is the probability the new policy introduced is done by Prof. Anand?

Please explain each step in detail.

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