(a) Explain the concept of probability and derive for Baye's theorem.…

Question

(a) Explain the concept of probability and derive for Baye's theorem.

(b) Two factories produce identical clocks. The production of the first factory consists of 10000 clocks of which 100 are defective. The second factory produces 20000 clocks of which 300 are defective. What is the probability that a particular clock was produced in the first factory? . ( 10, 10 )