Ok, I searched January for 2" precip, 1.0" snow storm combos in Chicago history. I know, low bar on the snow amount lol. But even setting a measly threshold of 1" snow, it's rare... like really rare.
We'll throw this one on the list even though it started on New Years Eve...
12/31/1890 to 1/2/1891: 2.03" precip, 3.0" snow
and...
1/26/1967 to 1/27/1967: 2.40" precip, 23.0" snow
So I'm not sure what to think. Either something pretty unusual is on the verge of happening or the 2" precip amount or 1" snow amount will get derailed. Guess we'll find out in a few days.