賓果是相當受歡迎且有趣的遊戲，本篇論文主要討論國內的玩法。對於不同大小的賓果遊戲，該如何利用電腦計算一些有趣的機率值，例如：叫了k個數之後得到賓果的機率，或是叫幾個數之後玩家期望得到賓果的條數，之後也會討論一些有趣的結果。

Bingo game is a popular and interesting game. This paper
considers some interesting properties of the Bingo game played in Taiwan. We discuss how to use the computer to calculate some interesting probability value for various sizes of bingo games. For example, the expectation of the calls to hit a Bingo and the expectation of the Bingo number after the $k$th number is called. Some interesting results are also discussed.

1. 前言 1
2. 國內賓果遊戲 1
3. 單人玩時機率計算及蒙地卡羅模擬 3
4. 多人玩時機率計算及蒙地卡羅模擬 7
5. 結論 9

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