What is the probability that this problem is interesting?

Pi Han randomly chooses two distinct integers from the set of integers {1,2,3,499,100}\{1,2,3,4 \dots 99,100\}. Let the ratio of the first number to second number chosen be RR. If the probability that R<1R<1 can be expressed as ab\dfrac{a}{b} for co-prime integers a,ba,b , Find a+ba+b


This problem is original.
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