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Three identical dice are rolled. The probability that same number appears on them, isA. `(1)/(6)`B. `(1)/(36)`C. `(1)/(18)`D. `(3)/(28)`

Answer» Correct Answer - B
The total number of elementary events associated to the random experiment of throwing three dice simultaneously is `6^(3)`.
Same number appears on three dice in `.^(6)C_(1)` ways.
`therefore` Probability of getting the same number `=(.^(6)C_(1))/(6^(3))=(1)/(6^(2))=(1)/(36)`


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