Let set S = {1,2,3,....,30}. Let A = the event that an element in the set is a multiple of 2. Let B = the event that an element in the set is a prime number. Let C = the event that an element in the set is a multiple of 5. The element of S are organized in the Euler diagram. Use this diagram to answer each question. Find P(A∩B). P(A∩C), and P(B∩C)