A home improvement company in Cincinnati ran a promotion: If a customer bought new windows before December $10,$ then if Cincinnati had a white Christmas, the purchase would be free. In the fine print, a $$white Christmas$$ was defined as four inches of snowfall on December $25.$ The National Weather Service summarized Christmas Day snowfall from $1893$ to $2014$ as follows: What is the probability that the company would have to reimburse customers who took this offer?