Do more numbers from 1 to 10000 inclusive have an even or odd sum of their digits?

Between $0$ and $9$ (inclusive), exactly half has even sum of digits, and exactly half has odd sum of digits. Same with $10$-$19$. Same with $20$-$29$. And so on. So for numbers from $0$ to $9\,999$ (inclusive) there are equally many numbers with even and odd sum of digits.