Ladder Lottery

Ladder Lottery#

Ladder Lottery

Ladder Lottery is a fun East Asian game, also known as “鬼腳圖” (Guijiaotu) in Chinese, “阿弥陀籤” (Amida-kuzi) in Japanese, “사다리타기” (Sadaritagi) in Korean, and “Ladder Lottery” in English. The game is played as follows:

  1. A player is given a board with a set of vertical lines.

  2. The player chooses a line and starts to move along the line

  3. When hitting a horizontal line, the player must move along the horizontal line and then continue to move along the next vertical line.

  4. The player wins if the player can hit a marked line at the bottom of the board.

  5. You cannot see the horizontal lines in advance!

Play the Ladder Lottery Game! 🎮✨ and try to answer the following questions:

  1. Is tehre a strategy to maximize the probability of winning?

  2. How does the probability of winning change as the number of horizontal lines increases?