four dice are rolled Find the probability of getting all the

four dice are rolled.

Find the probability of getting all the same outcomes.  (Enter your answer as a fraction.)

Find the probability of getting all different outcomes. (Enter your answer as a fraction.)

Solution

1.

There are six such outcomes (all 1\'s, all 2\'s, etc.)

The total number of outcomes is 6*6*6*6 = 1296.

Thus, the probability is 6/1296 = 1/216. [ANSWER]

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2.

There are 6P4 = 360 such outcomes out of 1296.

Thus, the probability of unique outcomes is 360/1296 = 5/18 [ANSWER]