P and Q are considering to apply for a job. The probability that P applies for…

GATE · 2017 · CS · Set 2 · Computer Science & IT

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 this job is

A.
$\frac {4} {5}$
B.
$\frac {5} {6}$
C.
$\frac {7} {8}$
D.
$\frac {11} {12}$

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