SPOOL RIDDLE - Which way will it roll?

I'm not sure the answer, but I think I have it.:
Pulling on a rope would normally make the small spool want to rotate clockwise, but the large spool will want to rotate counter-clockwise due to the reverse pull by the friction against the table.
Since both spools are locked together, their rotational speeds are the same (one revolution of the small spool is equal to one revolution of the large spool)
However, because the inner spool has a smaller linear speed (a point on it's circumference travels less distance per revolution that the large spool) and the large spool has a greater linear speed (a point on it's circumference travels farther than the small spool), the large spool's effect is greater than the small spool, and therefore it will travel in the direction of the large spool which would be towards where you are pulling.