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 driverʹs side, front passengerʹs side, reardriverʹs side, or rear passengerʹs side. If the workers didnʹt really have a flat tire and each randomly selects atire, 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

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 driverʹs side, front passengerʹs side, reardriverʹs side, or rear passengerʹs side. If the workers didnʹt really have a flat tire and each randomly selects atire, 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) $\frac { 1 } { 8 }$

Quizplus · Accepted Answer

The probability that all four workers randomly select the same tire is $\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64}$, because after the first person chooses, each subsequent person has a 1 in 4 chance of choosing the same tire.

Four Employees Drive to Work in the Same Car 164\frac { 1 } { 64 }641​

Four Employees Drive to Work in the Same Car $\frac { 1 } { 64 }$