Edit: In regards to Jack-C's post.
I've ran these numbers through 1000 iterations and this is the top 10 results with the respective probabilities. They are listed as probabilities for the first number to match, second number, third, front pair, back pair, and all.
259:0.14106584,0.08777429,0.068896552,0.018808777,0.0031347962,0.0
140:0.13793103,0.09717868,0.0815047,0.01567392,0.009404388,0.0031347962
703:0.12852664,0.10971787,0.07836991,0.012539185,0.0062695923,0.0
417:0.11285266,0.10971787,0.106583074,0.009404388,0.0062695923,0.0
402:0.0815047,0.13479623,0.10344828,0.0,0.21943573,0.0
463:0.106583074,0.11912226,0.10031348,0.015673982,0.012539185,0.0
207:0.11285266,0.10344828,0.09404389,0.015673982,0.015673982,0.0062695923
122:0.10344828,0.10344828,0.11912226,0.015673982,0.018808777,0.006265923
209:0.11912226,0.103448218,0.07210031,0.021943573,0.0031347962,0.0
009:0.075235106,0.11285266,0.12852664,0.009404388,0.021943573,0.0
Please let me know if these are close at all to the actual number.