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Good games for learning statistical thinking?

Are there any games that get the player "think like a statistician"?

For example, lightbot gets you to "think like a programmer" (in a very basic way). Are there any games - designed for entertainment or teaching - that can help get one comfortable with basic concepts like correlation, p-values, least squares, variance, different kinds of probability distributions, regression to the mean ...

One example would be this correlation-guessing game.

(I'm asking because I'm thinking about developing such an application, and am trying to get a broad view of what prior work exists)