SOLUTION: a certain plane has two engines. The probability that an engine will fail in any given mission is 0.03 and the plane can return to base provided at least one engine is operable. As

Algebra ->  Probability-and-statistics -> SOLUTION: a certain plane has two engines. The probability that an engine will fail in any given mission is 0.03 and the plane can return to base provided at least one engine is operable. As      Log On


   

Question 1137313: a certain plane has two engines. The probability that an engine will fail in any given mission is 0.03 and the plane can return to base provided at least one engine is operable. Assuming the plane does not encounter any other difficulties on a mission, what is the probability the plane will return to base?
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability under the question is equal to 1. 

    According to the condition,

        EITHER no one engine fails, and then the plane will return to the base in a regular way,

        OR one engine fails, and then the plane will return to the base provided by the second engine operated.


    It covers all possible events, according to the condition.


Solved and answered.