)A ship is fitted with three engines A, B and C. These three engines function independently of each other with probabilities ½ , ¼, ¼ respectively. For ship to be operational atleast two of its engines must function. Let E denote the event that the ship is operational and E1,E2 and E3 denote the events that engines A,B and C are functioning. Then validate the following. (a). P(E1C / E) = 3/16 (b) P(E / E2) = 5/16 (c) P( Exactly two engines of the ship are functioning / E) = 7/8.
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