Look at it like a lottery.

Lets say you have a hypothetical jar with an infinite amount of numbers in it. You have a better chance of picking out a whole number from the jar than you do an odd number.

That's not true. If the jar had a finite number of numbers you would have a point. If the jar has an infinite number of numbers then the chance of

*any* particular number or set of numbers being drawn is zero. (Remember what chance is: the number of events satisfying an outcome divided by the total number of events.)

We don't need to dig to deep into this whole numbers vs. odd numbers thing.

We do need to dig deep when we mention infinities. Strange things happen.