You have two jars, 50 red marbles and 50 blue marbles. You need to place all the marbles into the jars such that when you blindly pick one marble out of
one jar, you maximize the chances that it will be red. When picking, you will first randomly pick a jar, and then randomly pick a marble out of that jar. You can arrange the marbles however you like, but place all 100 marbles in the jars.