document.write( "Question 1142617: A plane has three engines—a central engine and an engine on each wing. The plane will crash only if
\n" ); document.write( "the central engine fails and at least one of the two wing engines fails. The probability of failure
\n" ); document.write( "during any given flight is 0.005 for the central engine and 0.008 for each of the wing engines.
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Algebra.Com's Answer #763304 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The plane will crash if and only if one of the following events will happen\r\n" );
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document.write( "    - (a)  central and left engines fail\r\n" );
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document.write( "    - (b)  central and right engines fail\r\n" );
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document.write( "    - (c)  central and both left and right engines fail.\r\n" );
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document.write( "The probabilities for each of these events are\r\n" );
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document.write( "       P(a) = 0.005*0.008*(1-0.008) = 0.00003968\r\n" );
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document.write( "       P(b) = 0.005*0.008*(1-0.008) = 0.00003968\r\n" );
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document.write( "       P(c) = 0.005*0.008*0.008     = 0.00000032\r\n" );
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document.write( "The probability of the crash is the sum P = P(a) + P(b) + P(c) = 0.00007968 (approximately).    ANSWER\r\n" );
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