2006 SMT/General Problems/Problem 7

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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2006 SMT/General Problems/Problem 7

Problem

Solution

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