I was playing a board game with the little guy and he was convinced he had developed a better method to roll the die. I asked him to check that his method actually works, so he obtained the distribution below. His number sense and intuition for probability are unusual for a six year old. He can do things I certainly could not when I was his age, but on the other hand he's had somewhat better instruction :^)
At this point he doesn't know how to interpret the results of his statistical tests. He did tell me that if his dice rolling method didn't work then each row of marks would be the same. I wasn't there when he obtained this data.
See also
Bounded Cognition.
