Question #3: (5 points) Consider a single fair die with six sides from 1 to 6: 1. What is the state space? State Space = { 2. Define the state space for the following variables k=4 W (roll k) = Lok#4 1 kis Even Number and k> 2 X (roll k) = kis Odd Number 1 k is divided by 3 Y (roll k) = 0 kis NOT divided by 3 i kis Prime Number Z (roll k) = LOk is NOT Prime Number Sate space of W={ Sate space of X={ Sate space of Y = { Sate space of Z={ 3. What is the Probability of the following? Pr[W = 1) = - Pr[X = 1) = Pr[Y = 1] =- Pr[Z = 1] =- Pr[x = 0] =- Pr[W = 1 ^ Y = 0] =- Pr[Y = 1 X = 0] =- Pr[2 = 1] =