Wiktionary
counterintuitively
adv. in a manner contrary to intuition or common sense
WordNet
counterintuitively
adv. in a counterintuitive manner
Usage examples of "counterintuitively".
Even more counterintuitively, the mark could fall anywhere on the stick at all.
Counterintuitively, then, DNA variation between species turns out to be a much less reliable guide to the organismal level function of molecules than the variation within species.