Question: Three dice are rolled twice. What is the probability that they show the same numbers (a) if the dice are distinguishable, (b) if they

Three dice are rolled twice. What is the probability that they show

Three dice are rolled twice. What is the probability that they show the same numbers (a) if the dice are distinguishable, (b) if they are not. [Hint: divide into cases according to the pattern of the first throw: a pair, a triple, or all different; then match the second throw accordingly.]

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