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 } { 4,096 }$
B) $\frac { 1 } { 6 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 4,097 }$
E) $\frac { 1 } { 8,192 }$

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 } { 4,096 }$
B) $\frac { 1 } { 6 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 4,097 }$
E) $\frac { 1 } { 8,192 }$

Quizplus · Accepted Answer

The probability that one engine will fail is 1/16. Therefore, the probability that all 6 engines will fail is $(\frac{1}{16})^6=\frac{1}{4,096}$, which is option A.

Assume That the Probability That an Airplane Engine Will Fail 14,096 \frac { 1 } { 4,096 }4,0961​

Assume That the Probability That an Airplane Engine Will Fail $\frac { 1 } { 4,096 }$