Probability problem - The Last Banana

The CWC final is rained out on Sunday. To decide the winner, Australia suggest a dice game called 'The Last banana'. The game is with two dice: if the biggest number rolled is one, two, three, or four, Team 1 wins. If the biggest number rolled is five or six, Team 2 wins. The Aussies offer NZ the choice to be either Team 1 or 2. Who has the best probability of winning the game? Which team should NZ choose?

To solve this problem you will need to think about total possible outcomes. A two way table may be the best way to show total possible outcomes.