# What is the probability that this problem is interesting?

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

###### This problem is original.
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