Answer:
The required probability is 0.015625.
Step-by-step explanation:
Consider the provided information.
There number of tires are 4.
The number of workers are 4.
The probability that individual select front drivers side tire = [tex]\frac{1}{4}[/tex]
The probability that they all select front drivers side,tire is: [tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}=\frac{1}{256}[/tex]
Similarly,
The probability that they all select front passenger side, tire is: [tex]\frac{1}{256}[/tex]
The probability that they all select rear driver side,tire is: [tex]\frac{1}{256}[/tex]
The probability that they all select rear passenger side, tire is: [tex]\frac{1}{256}[/tex]
Hence, the probability that all four workers select the same tire = [tex]\frac{1}{256}+ \frac{1}{256}+\frac{1}{256}+\frac{1}{256}[/tex]
the probability that all four workers select the same tire = [tex]\frac{4}{256}=\frac{1}{64}=0.015625[/tex]
Hence, the required probability is 0.015625.
