Remember that "state space" refers to the space of all potential possibilities. Which dichotomous questions below will successfully narrow down the entire state space of "flipping a coin and rolling a normal six-sided die" to just 1 outcome?
1. Did the coin land on tails? Is the value on the die less than 3? Is the value on the die even? Is the value on the die 4, 5 or 6?
2. Did the coin land on heads? Is the value on the die odd? Is the value on the die more than 3? Does the value on the die equal 1, 2, 5 or 6?
3. Is the value on the die even? Did the coin land on heads? When the value on the die is multiplied by 4, is it even? 4. Does the value on the die equal 1, 2 or 3?
5. None of these will narrow down the state space to just one outcome?