STAT 3340 | Introduction to Bavesian Data Analvsis

4.7 Two fair dice, one red and one green, are rolled. Let the event A be "the sum of the faces showing is an even number." Let the event B be "the sum of the faces showing is divisible by 3." (a) List the outcomes in A, and find P(A). (b) List the outcomes in B, and find P(B). (c) List the outcomes in An B, and find P(An B). (d) Are the events A and B independent? Explain why or why not