**From New Scientist #2915, 4th May 2013** [link]

I applied for a job and had two interviews. The two interviewers had to decide independently whether or not I was suitable. Only after both interviews were the two decisions announced and the approval of both was needed to get the job. Apparently the first interviewer approved one in every P applicants (where P is a whole number) and decided that the rest were unsuitable. Then, for any of the first interviewer’s decisions, there was only a one in Q chance that the second interviewer agreed with the first (where Q is a larger integer). After the second interview, the interviewer told me that he had approved my application. However, he warned me not to get too excited because there was only a one in P+Q chance that I had got the job.

What are the values of P and Q?

[enigma1747]

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I think this is relatively straightforward (although probabilities aren’t my favourite thing). The solution also turned out to be the first pair of numbers I tried as an example to get the idea. Here’s a simple Python program to compute the answer.

Solution:P = 3, Q = 4.