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"Newcomer-2014. Winter"

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#449
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Roger-ua
The lottery was simply conducted incorrectly. After the first number, 2, was drawn, it was not excluded from the second lottery. The probability of drawing the numbers 1 and 3 became 33%, while if the number 2 had been excluded, their probabilities would have been 50%.
Generating 1, 2, or 3 with equal probability, and if 2 is drawn, generating again until 1 or 3 is drawn, is the same as generating 1 and 3 with equal probability (in this case, 1/2, because the probability of other outcomes is zero).
By the way, a complete regeneration in the case of drawing two identical numbers until two different numbers are drawn is also correct.