Three unbiased dice are thrown. Find the probability that, i) they all show different numbers, ii) at least two show the same number.

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An unbiased dice has 6 faces with a different number each of which has an equal probability of showing when the die is tossed. In the problem we have 3 unbiased dice.

1) First we need to find the probability that all show different numbers. This can be done by considering that when the 1st die is tossed it can...

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