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Three identical dice are thrown together. Find the probability that distinct numbers appear on them.A. `(4)/(9)`B. `(5)/(9)`C. `(5)/(39)`D. `(1)/(9)`

Answer» Correct Answer - B
The total number of elementary events associated to the given random experiment is `6^(3)`.
Three dice will show distinct numbers in `.^(6)C_(3)xx3!` ways.
`therefore` Required probability `=(.^(6)C_(3)xx3!)/(6^(3))=(5)/(9)`


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