Because there are not three possibilities but four.
1st | 2nd | result
—|—|—-
even | odd | odd
even | even | even
odd | odd | even
odd | even | odd
You can’t just lump two possible results together. odd+even and even+odd are both different results.
You have to imagine both parts separately.
If you flip two coins what are the chance that thy both show the same result.
Either they are both head or both tail or one head and one tail. But the last part could be either the first being head and the second being tail or the first being tail and the second being head.
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