4. (20 points) Suppose you have a six-sided die: . One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C1, C2, and C3. . Cl will land Heads with probability 3/4. . C2 will land Heads with probability 1/3. . C3 will land Heads with probability 1/2. You roll the die. . If the die lands with a 1 face up, flip coin C1 If the die lands with a 2 face up, flip coin C2 If the die lands with a 3 face up, flip coin C3 Here is the probability diagram for the coin flips. 1/6 2 3 1/2 3/ 4 1/ 4 2/3 H T T T CI 6 2