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in Probability and Probability Distribution by (46.3k points)

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

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Let x = number of doublets 

∴ Expected value of x will be 0, 1, 2, 3 

Set of all doublets available on a pair of dice in a throw = (1,1), (2, 2), (3,3), (4,4), (5, 5), (6, 6) 

Number of all possible ways on throwing a pair of dice. = 6 × 6 = 36 

∴ Probability of getting a doublets on a pair of dice in a throw = 6/36 = 1/6

∴ Probability of getting a doublets on a pair of dice throw = 1 – 1/6 = 5/6

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