P and Q are considering to apply for a job. The probability that P applies for the job is \(\frac{1}{4}\), the probability that P applies for the job given that Q applies for the job is \(\frac{1}{2}\), and the probability that Q applies for the job given that P applies for the job is \(\frac{1}{3}\). Then the probability that P does not apply for the job given that Q does not apply for the job is
1
\(\frac{4}{5}\)
2
\(\frac{5}{6}\)
3
\(\frac{7}{8}\)
4
\(\frac{{11}}{{12}}\)