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

question 107

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) \(\frac { 1 } { 244 }\)

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Definitions:

Keto-Enol Tautomerization

A chemical equilibrium between a ketone and its corresponding enol (a compound with a double bond and a hydroxyl group connected to the same carbon), highlighting the mobility of hydrogen and electrons.

D-Glucose

A naturally occurring form of glucose, a simple sugar, that is widely found in nature and is a primary energy source for living organisms.

Mutarotation

Mutarotation is the process of spontaneous change in the optical rotation because of the change in the equilibrium between two anomers of a sugar in solution.

Amygdalin

A naturally occurring compound found in the seeds of many fruits that releases cyanide when metabolized.