You can check your game history by clicking the "Bet Log" option within the Live Dealer lobby. A grid with all recent transactions will be displayed; you can see your last 140 transactions.

Within Classic Casino if a player is in-game and selects the 'tools' icon then 'betlog' will launch the bet history with that game selected. The service also allows for players to select by game and view 'today, yesterday, this week, last week'.