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I randomly pick an integer between 1 and 10 inclusive.  What is the probablility that I choose a p such that there exists an integer q so that p and q satisfy the equation pq-2p-2q=2? Express your answer as a common fraction.

 Jan 4, 2021
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Using Simons favorite factoring trick gets us (p-2)(q-2)=6 so (p-2) can be either 1,2,3, or 6 meaning p is 3,4,5, or 8. 2/5

:D

 Jan 6, 2021

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