Three identical dice are rolled. The probability that the same number willappear on each of them is:(a) 1/6(b) 1/12(c) 1/36(d) 1
Question
Solution 1
The total number of outcomes when three dice are rolled is 666 = 216.
When we roll three identical dice, the number of favorable outcomes is 6 (i.e., (1,1,1), (2,2,2), (3,3,3), (4,4,4), (5,5,5), (6,6,6)).
So, the probability that the same number will appear on each of them is 6/216 = 1/36.
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