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Q.

Three identical dice are rolled. The probability that the same number will appear on each of them is

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a

16

b

136

c

118

d

328

answer is B.

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Detailed Solution

Favorable cases are {(1, 1, 1), (2,2,2), .……. (6,6,6)}. The number of favorable cases is 6. The total number cases is 6 x 6 x 6 = 216. Therefore, the required probability is  1/36.
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Three identical dice are rolled. The probability that the same number will appear on each of them is