Assume that the probability that an airplane engine will fail during a torture test is and that the aircraft in question has 6 engines.Find the probability that no engines will survive.
A)$\frac { 1 } { 3 }$
B) $\frac { 1 } { 730 }$
C) $\frac { 1 } { 729 }$
D) $\frac { 1 } { 6 }$
E) $\frac { 1 } { 1,458 }$

Question

Assume that the probability that an airplane engine will fail during a torture test is and that the aircraft in question has 6 engines.Find the probability that no engines will survive. 
A)$\frac { 1 } { 3 }$
B) $\frac { 1 } { 730 }$
C) $\frac { 1 } { 729 }$
D) $\frac { 1 } { 6 }$
E) $\frac { 1 } { 1,458 }$

Quizplus · Accepted Answer

The probability that one engine will fail is $\frac{1}{3}$, so the probability that all six engines will fail is $\left( \frac{1}{3} ight) ^6 = \frac{1}{729}$. Therefore, the answer is $\boxed{	extbf{(C)}\; \frac{1}{729}}$.

Assume That the Probability That an Airplane Engine Will Fail 13\frac { 1 } { 3 }31​

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