# Answer to Question #45950 in Algebra for Aswini N

Question #45950

)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.

(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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