Who would win between a Shaolin Abbot versus a Ninja in a real fight?

The Shaolins truly existed in history in China and so does the Ninjas in Japan. They both had extraordinary skill in the Martial Arts. I was just wondering (even though it is depicted in movies)...what if long ago a Shaolin Abbot and a trained Ninja assassin crossed paths and decided to fight to the death, who would you put your money on? I would say it would be the Shaolin priest, but I could be wrong…am I?