document.write( "Question 1168079: A trimotor plane has three engines—a central engine and an engine on each wing. The plane
\n" ); document.write( "will crash only if the central engine fails and at least one of the two wing engines fails. The
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\n" ); document.write( "probability of failure during any given flight is .005 for the central engine and .008 for each of
\n" ); document.write( "the wing engines. Assuming that the three engines operate independently, what is the
\n" ); document.write( "probability that the plane will crash during a flight? \n" ); document.write( "

Algebra.Com's Answer #792679 by ikleyn(52785) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A trimotor plane has three engines—a central engine and an engine on each wing. The plane
\n" ); document.write( "will crash only if the central engine fails and at least one of the two wing engines fails. The
\n" ); document.write( " $\"highlight%28cross%282%29%29\"$ probability of failure during any given flight is .005 for the central engine and .008 for each of
\n" ); document.write( "the wing engines. Assuming that the three engines operate independently, what is the
\n" ); document.write( "probability that the plane will crash during a flight?
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document.write( "Let the engines be C (central), L (left wing engine) and R (right wing engine).\r\n" );
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document.write( "Then the probability to crash  is\r\n" );
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document.write( "    P = P(C fails)*P(L fails OR R fails) = 0.005*(0.008 + 0.008 - 0.008*0.008) =  0.005*0.015936 = 0.00007968.      ANSWER\r\n" );
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