If you are a backgammon lover, or you have been to a casino you probably know how unpredictable dice rolling is. Because of its nature, most games played with dice only involve 6 sided ones. If I ask you how many points on average you expect to have if you rolled such die 6 times? If you have taken some statistics classes in high school or college, your answer will be 3 and it will be “on average” correct. Let’s complicate the problem a bit.

Suppose, you are given two random 8 sided dice. They are hand-made, so sides are not equal. Given that you know the probabilities associated with each side of each die, which one would you choose to score 100 points the quickest? …

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