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D(1), D(2) are two cubical dice, with fa...

`D_(1), D_(2)` are two cubical dice, with faces of `D_(1)` marked `1,2,2,3,3,3` and faces of `D_(2)` marked `1,1,2,2,3,3`. One of the 2 dice is selected at random and tosses 3 times. If the sum of the numbers obtained is equal to 6 then the probability that the selected die is `D_(1)` is

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