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No because they don't have equal probability. There as many even numbers as there are odd. (they are infinite but whatever, the chance of picking even or odd is roughly 1/2).
If you pick two random numbers, the events (even, odd), (odd, even) are as likely as (even, even), (odd, odd).
Point being, you forgot the case odd + even = odd. If you don't into account ordering (even, odd) is 2x more likely.
