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Find the probability distribution of number of doublets in three throws of a pair of dice.

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To find the probability distribution of the number of doublets in three throws of a pair of dice, we will follow these steps: ### Step 1: Define the Random Variable Let \( X \) be the random variable representing the number of doublets in three throws of a pair of dice. The possible values of \( X \) are \( 0, 1, 2, \) and \( 3 \). ### Step 2: Calculate the Probability of a Doublet A doublet occurs when both dice show the same number. The possible doublets are: - (1, 1) ...
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