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It is quite rare to have an egg hatch and for a trainer to not only find a female Riolu, but to have it shiny as well. The gender ratio of Riolu is 87.5% male with 12.5% of the species being female. In Pokemon Diamond and Pearl, the chance of encountering a shiny Pokemon (in the wild or through hatching) is 1 in 8192 or approximately 0.012207%.

By elementary calculations (not to be relied on very much), it seems that the chance of hatching a shiny female Riolu is 0.001525875% or 1.53 x 10^-3, which is indeed incredibly rare.

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