Saki doesn't understand why she was taken to play mahjong but that's where Saki and Nodoka met. Nodoka wins but questions Saki's playing style so she asks for another game.
Don't bother watching this if you want to finish it. The series was canceled and is left on a cliff hanger. There was an indication for season 3 but nothing happened. It's been almost 3+ years so it's not happening.
The table is a press formed board with dice in a popper like the one used on a 'game of life' board. I've never seen it played without beer, cigarettes and money on the table. Hardly seems like the same game.