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Is it the case that there are 3:1 even to odd numbers out there?
Seems unlikely. Your table is wrong, because there no reason to distinguish between O×E and E×O. This means that if you take any arbitrary pair of integers and multiply them together, you are twice as likely to get an even result as an odd one.
Since all the primes are odd, they conveniently fill the gaps to bring order to the chaos and balance the odds with the evens in an exact 1:1 ratio. We know this must be the ratio, because for the set of all even integers, we can add 1 to each to create the set of all odd integers.
gbj_tester
For odd and even numbers, given that:
O x O = O
E x E = E
O x E = E
E x O = E
Is it the case that there are 3:1 even to odd numbers out there?