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) $\frac { 1 } { 244 }$

Question

Quizplus · Accepted Answer

Since each engine has an independent probability of failing, we can use the multiplication rule for independent events: the probability that all 5 engines fail is $\left( \frac{1}{3} \right)^5 = \frac{1}{243}$. Therefore, the answer is choice A.

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 $\frac { 1 } { 3 }$