\(P, Q,\) and \(R\) each try to execute a job and create a report on it. The individual probabilities for their completi

\(P, Q,\) and \(R\) each try to execute a job and create a report on it. The individual probabilities for their completion of the jobs are \(\dfrac13, \dfrac23,\) and \(\dfrac35\) and the probability for any of them not to finish the report is \(\dfrac25.\) If one can write the report only after finishing the job, then what is the probability that only \(P\) and \(Q\) will complete their jobs and finish their reports?

A. \(\dfrac4{625}\)

B. \(\dfrac4{125}\)

C. \(\dfrac{32}{625}\)

D. \(\dfrac4{25}\)

E. \(\dfrac{32}{125}\)

Answer: B

Source: e-GMAT