If Mister X obscures his route with a black ticket or plays a double move it is safer to return to well-connected map locations instead of attempting a capture. Doing this will also make it more difficult for Mister X to escape.
Well-Connected Areas
When you play as Mister X and your position is about to be revealed try to aim for well-connected areas. Doing this will make it much harder for detectives to accurately predict your next move.