1. A dice game has two different dice. One is a four-sided die with the colors red, blue, yellow, and green. The other is three-sided with the numbers 1, 2, and 3. The sample space for this game is: S = R1 B1 G1 y1 R2 B2 G2 y2 R3 B3 G3 y3 Consider the events A: {observe R} B: {observe 3} C: {observe R or B} a. List the simple events included in events A, B, and C and find P(A), P(B), and P(C). A ={ JP(A) = B = L JP (B) = C = JP(C) = b. List the simple events included in C', AC, and BUC , and find P(C '), P(AC), and P(BUC). C'= 1 JP(C ') = AC={ JP(AC) = BUC = L } P ( B UC ) = _ C. Are A and B mutually exclusive? WHY? d. Find P(A|C) Ans 1d e. Are A and C independent? WHY