Problem 1. Let A, B and C be three arbitrary events. Find symbolic expressions for the events that of A, B and C: (a) B occurs; (b) only B occurs; (c) A occurs and either B or C occur, but not both; (d) at least two occur; (e) all three occur; (f) only two occur; (g) one or two occur; (h) none occurs. In each case show the event in a Venn diagram. S B A Example: One and only one occurs: ABCUABC ABC