I often find it hard to make decisions, so what I do is a carry two dice with me (one blue and one red) to make my decisions for me. Yesterday after dinner I had trouble deciding if I wanted a sundae or a banana split after dinner. Taking out my trusty dice I said "Ill roll both dice and if either shows a 6 then I will have a sundae; if the sum of the dice is either 7 or 11 then I will have a banana split; if both occur I will have two desserts; otherwise I'll have no dessert at all". Assuming that the dice are fair what is the probability that: (a) I have a sundae? (b) I have a banana split (c) I have both a sundae and a banana split? (d) I have no dessert?