If you take randomly one positive divisor or 8 and one positive divisor of 10.
What is the probability that their sum is greater than 8?
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The divisors of 8 are 1,2,4,8.
The divisors of 10 are 1,2,5,10.
We have 4*4=16 ways to sum one number of each group of divisors. (1+1,1+2,1+5,1+10,2+1,2+2,2+5..........)
There are only eight different sums greater than 8, 1+10, 2+10, 4+5, 4+10, 8+1, 8+2, 8+5 and 8+10.
So we have the probability 1 6 8 = 2 1 .