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Find the probability distribution of the maximum of the two scores obtained when a die is thrown twice. Determine also the mean of the distribution. Select the correct answer from above options

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Let X is the random variable score obtained when a die is thrown twice. ∴ X= 1,2,3,4,5,6 Here, S= {(1,1), (1,2) (2,1) (2,2) (1,3) (,3) (3,1) (3,2) (3,3),. (6,6)} So, the required distribution is,

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