Try thinking of it this way: you're in highschool and your stats teacher gives you a homework assignment to flip a coin 200 times. You respect her and don't want to disappoint her, but at the same time the assignment is pointlessly tedious and you want to write down a fake result which will convince her you actually did it.

A slightly imperfect split is more likely to convince your teacher that you did the assignment. Intuitively this should be obvious.