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Product vs. Square [Facebook Statistics Interview Question]


There are two games involving dice that you can play. In the first game, you roll two dice at once and receive a dollar amount equivalent to the product of the rolls.

In the second game, you roll one die and get the dollar amount equivalent to the square of that value. Which has the higher expected value and why?

This is the same question as problem #27 in the Statistics Chapter of Ace the Data Science Interview!