Texas Lottery. In each drawing for the Texas Pick 3 lottery, 3 digits between 0 and 9

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Texas Lottery. In each drawing for the Texas Pick 3 lottery, 3 digits between 0 and 9 (inclusive) are randomly selected.

What is the distribution of the selected digits? If the mean is calculated for each drawing, can the distribution of the sample means be treated as a normal distribution?

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