Atlantic Airways Inc., a major airline is experiencing a number of various major

Question

Atlantic Airways Inc., a major airline is experiencing a number of various major problems. One major problem is the landing gear. Isaac, an engineer for Atlantic Airways contends there is a 12% probability one mechanical problem that can occur is the failure of the landing gear. Many other various mechanical problems can occur at an 88% probability. Isaac feels that the landing gear fails, the airplane will crash with a probability of 75%. There is a 6% probability that any other mechanical problem will result in a crash. A flight by Atlantic Airways experiences a mechanical problem. What is the probability the plane crashes?

Explanation / Answer

probabilty that plane crashes =P(landing gear problem happens& plane crashes+other mechanical problem & plane crashes)

=0.12*0.75+0.88*0.06=0.1428

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