Q: Probability question involving numerous coins and a wand that could flip over a select number of coins (cannot remember the exact question)
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Probability, general probability and game type.
You have 100 coins, how can you split them into piles such that the product of the number of coins in each pile is maximum. In the general setting what is the optimal strategy.
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You roll a 4 sided die and sequentially add up the score seen. What is the expected value of the first number you see above 100. Follow up: what if we start at 96 instead of 0
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