This is an easier one as a brief respite from the self-describing sentence.
I have 60 red balls and 60 blue balls. They are all identical except for color. I have three identical boxes.
I put 40 red balls in one box, 40 blue balls in a second box, and 20 of each in the third box. I label the boxes "red", "blue", and "mixed", but in each case the label on the box is wrong.
You are allowed to examine one ball from one of he boxes. Can you then correctly label all three boxes? How or why not?