Question

Day 10xASE CertifiedBrakesASE CertifiedA/C Repair143223ASE CertifiedEngine Tune-Ups3Not ASECertifiedA manager that owns 3 localarea Car MaintenanceGarages was researchingcertifications of mechanicsthat worked for hercompany. Consider thefollowing Venn diagram. What is the probability that a randomly selected mechanic that is certified in A/C repair given that the mechanic is certified to do tune-ups ?

Answer 1

The probabilities from the venn diagram are:

Let A be the event that the Mechanic is AC repairman and T be the event that he does tune ups.

`P(A\cap T)=(2)/(13)`

The probability that he does tune ups is:

`P(T)=(3)/(13)`

Hence the required probability is given by:

`P(A|T)=(P(A\cap T))/(P(T))=((2)/(13))/((3)/(13))=(2)/(3)`

Hence the probability is 2/3.