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Consider two fair 4-sided dice. (... Consider two fair 4-sided dice. (With numbers 1-4). A game is played with the two dice. First, Player
Consider two fair 4-sided dice. (... Consider two fair 4-sided dice. (With numbers 1-4). A game is played with the two dice. First, Player A rolls one dice. Before the second dice is thrown, Player B may choose whether to use the sum of the two dice, or the product of the two dice as their result. Player A then has the other operation (i.e. sum if B chose product, product if B chose sum) as their result. The player with the higher result wins. A tie results in starting over. A similar game is played. Now, however, player B must choose the operation before the results of the first dice throw is known. You are player B. Which operation do you choose to maximize your chances of winning
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