Advanced Topics in Network Science

Author

Sadamori Kojaku

Published

July 27, 2025

1 Ladder Lottery

Ladder Lottery

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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! 🎮✨’.replace(‘BASE_URL’, base_url) }} 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?