To show the state space for the given flow diagrams, you need to identify the distinct states and the transitions between them. ### State Space Representation 1. **Identify States:** - Each distinct node in the diagram represents a state. - Label the states as they appear in the diagrams. 2. **Transitions:** - Draw directed edges between states based on the diagram flow. - Label each edge with the transition probability or condition indicated in the diagrams. 3. **Combine Diagrams:** - Since there are two diagrams, ensure to combine the states and transitions in a unified state space if they're part of the same system. ### Example Structure - **States:** \( S_1, S_2, S_3, \ldots \) - **Transitions:** - \( S_1 \rightarrow S_2 \) with probability or condition (e.g., .3). - \( S_2 \rightarrow S_3 \) with probability or condition (e.g., .5). - etc. ### Draw the State Space Create a diagram with nodes representing each state and directed edges representing the transitions. Use labels from the diagrams to annotate the transitions. If you need help with a specific part of the diagram, feel free to ask!