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2006 SMT/General Problems/Problem 7

Revision as of 21:17, 15 October 2013 by DANCH (talk | contribs) (Created page with "==Problem== An aircraft is equipped with three engines that operate independently. The probability of an engine failure is <math>.01</math>. What is the probability of a successf...")
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Problem

An aircraft is equipped with three engines that operate independently. The probability of an engine failure is $.01$. What is the probability of a successful flight if only one engine is needed for the successful operation of the aircraft?

Solution

The chances of all three engines failing is $.01\times .01\times .01=.000001$. Therefore, the probability of a successful flight is $1-.000001=\boxed{.999999}$

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