Compute Probabilities Using the General Multiplication Rule
-Four employees drive to work in the same car. The workers claim they were late to work because of a flat tire. Their managers ask the workers to identify the tire that went flat; front driver's side, front passenger's side, rear driver's side, or rear passenger's side. If the workers didn't really have a flat tire and each randomly selects a tire, what is the probability that all four workers select the same tire?
A) $\frac { 1 } { 64 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 256 }$
D) $\frac { 1 } { 8 }$

Question

Quizplus · Accepted Answer

The probability that all four workers independently select the same tire is $\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64}$, since each worker has a 1 in 4 chance of selecting any given tire, and there are four workers.

Compute Probabilities Using the General Multiplication Rule -Four Employees Drive 164\frac { 1 } { 64 }641​

Compute Probabilities Using the General Multiplication Rule
-Four Employees Drive $\frac { 1 } { 64 }$