Warren Buffett once offered Bill Gates first pick of these four dice β and Gates refused. Students duel live on their own devices, predict their chances, and the class data builds the case for the strangest result in recreational probability.
Launch a session and project the join code. Students join anonymously on their phones, get paired, and play: one player picks a die first, the other picks second β knowingly. Before rolling, each player predicts how many rounds they'll win. Every roll lands in the class dataset, and the dashboard's headline number β how often the second picker wins β does the teaching for you.
Green β Yellow β Purple β Red β Green: each die beats the next with probability 2/3, so second pick always wins. Students compare their prediction with their data, build two-way tables from their own duels, read sample-space grids, and commit to a conjecture before the class discussion.
Editable .tex for adapting this resource.