Here is the polar bear courtesy of Bjarke Mønsted who posted it at Quora.com
Someone rolls a few dice and asks how many polar bears there are. The objective is to figure out the system.
“How many polar bears are there?”
Answer: 6.
Let’s try again:
Answer: 4.
Last one pre-spoiler:
Answer: 4.
OK, here’s a hint: “The game is in the name of the game – polar bears around an ice hole – invented in the days of Ghengis Khan.
A clue for you to keep you true – like petals around a rose, you can count each bear’s nose.”
Get it yet?
The system is: Dots in the center represent a water hole, and only dots around a water hole represent polar bears. People tend to try a lot of numerical approaches before realizing the system is about the image of the die rather than the number it represents.