Mahjong
Because of optimistically economic expectation, I recently received many wedding banquet invitations. In a Chinese wedding banquet, Mahjong game (Chinese: 麻將, Japanese: 麻雀 [まあじゃん] ) is a must. Chinese guests like to play Mahjong before a banquet starts. For the history and rules of Mahjong, you can refer to Wikipeda ( English , Chinese , Japanese ). I am just a beginner and know a little about the game. But I find out the following interesting figures. For simplifying the calculation, the following assumptions are made: No Flower Tile (Chinese: 花牌) is involved. So the total number of tiles is 136. After assigning 13 tiles to each player, there are 84 tiles remained on the table. You are the first player. Your opponents do not keep or later take your targeted tiles. No one Pong (Chinese: 碰), Chi (Chinese: 吃, Cantonese: 上 [Sheung] ), Kong (Chinese: 槓) before you complete the targeted pattern. Case 1a: If you want to have Three Identical Tiles or Pong but you have none of tar...