That question is flawed. Truly random would also mean 1000 times arround de circle and 9 times arround the blok.
What you draw is not random, its biased. Luckely that makes it easyer to do. You just need the path to be calculated in differend ways, and having the same amount on succes. The easy way could be this way.
But then better balanced, i lost my patience with myself.