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  4. Three identical dice are rolled. The probability that same number will appear on each of them will be:

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Q. Three identical dice are rolled. The probability that same number will appear on each of them will be:

Bihar CECEBihar CECE 2004

Solution:

Total number of cases, $ n(S)=6^{3} $
Total number of favourable cases,
in which all three dice have Same number, $ n(F)=6 $
$ \therefore $ Required probability $ =\frac{6}{{{6}^{3}}} $
$ =\frac{1}{36} $