Cook butter and sugar in a large skillet over medium heat until melted. Meanwhile, slice bananas in half lengthwise. Add to skillet and cook until bananas are tender, about 2 minutes. Carefully add rum and brandy and ignite. Spoon sauce gently over the bananas a few times and then serve immediately over vanilla ice cream.
A viewer or guest of the show, who may not be a professional cook, provided this recipe. It has not been tested for home use.