In my non-AP Calculus class, we do a unit on probability. At the start of class we watched the TED-Ed video called "The Last Banana". The video describes a two person game where each person rolls a fair 6-sided die. Player 1 wins if the highest roll on any die is a 1, 2, 3 or 4. Player 2 wins if the highest roll on any die is 5 or 6. I paused the video at the 37 second mark and at first I was just going to have my students discuss the answer to the question, "Who do you want to be - player 1 or player 2?" (Note: At first glance, it seems as if player 1 should win more often. After all, the probability of rolling a 1, 2, 3 or 4 is 4/6 and the probability of rolling a 5 or 6 is 2/6.)
Whenever I can give students a hands-on experience with probability, it makes the concept more memorable. I hope this one will stick with them. Plus...there is the added bonus of looking at this video again in AP Statistics from an inferential point of view. There we can ask the following question: "Assuming player 2 has a 20/36 chance of winning, are we likely to get results at least as extreme as 60 vs 69 by chance alone?"