(The inspiration came from a student’s submission for Remake Candyland.)

Three people play a board game. The first to reach the end of the track wins. You each have a favorite candy, and there are three cards randomly shuffled, one for each candy. The player, on their turn, draws a card. If it is their card, they advance a space. If it is someone else’s card, the other player advances a space. The player can draw once more if they choose.

We can restate this as the Monty Hall game: The player chooses a card but does not reveal it. A neutral game master looks at the other two cards and reveals one that is not the player’s card. The player can choose to keep their choice or switch. Probability would dictate that it is always better to switch.

We can mix this up by having a biased party look at the other two cards and choose whether to allow the choice or not.