Probability

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 \(\mathrm{P}\) applies for the job given that \(\mathrm{Q}\) 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 \(\mathrm{P}\) does not apply for the job given that \(\mathrm{Q}\) does not apply for the job is