A couple of years ago I decided to introduce my 8 year old son to probability theory (he loves maths), and sat down with a coin and pencil and paper. I explained that if we made 10 guesses for the toss of the coin, that about 5 of those guesses would be correct – whatever he chose. To prove the point, I chose HHHHHHHHHH, and he carefully guessed 10 well mixed sequences of H and T. We then tossed the coin 10 times, I scored 6 matches, he scored 4. Nice result.
He was intrigued, so we played again.