Assume That the Probability That an Airplane Engine Will Fail $\frac { 1 } { 3 }$

Multiple Choice

Assume that the probability that an airplane engine will fail during a torture test is $\frac { 1 } { 3 }$ and that the aircraft in question has 5 engines. Find the probability that no engines will survive.

A) $\frac { 1 } { 243 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 5 }$
D) $\frac { 1 } { 486 }$
E) $\frac { 1 } { 244 }$