The term 'Begins the Betting' is used to describe the start of a gambling session. The two crossword solutions for this term are 'Opens' and 'Antes'. 'Opens' refers to the act of starting a game, while 'Antes' refers to the money that each player puts into the pot before the game begins. This money is used as an incentive for players to stay in the game and to increase the stakes. By beginning the betting with these two terms, the game is officially underway.