1. **Problem Statement:** Draw a tree diagram to represent the experiment where two cards are drawn without replacement from nine cards numbered 1 to 9, noting whether each card is odd or even. 2. **Understanding the problem:** There are 9 cards: 5 odd (1,3,5,7,9) and 4 even (2,4,6,8). 3. **Step 1: First draw branches:** - Probability of drawing an odd card first: $\frac{5}{9}$ - Probability of drawing an even card first: $\frac{4}{9}$ 4. **Step 2: Second draw branches (no replacement):** - If first card was odd (5 odd cards initially, now 4 odd left, total cards left 8): - Probability second card odd: $\frac{4}{8} = \frac{1}{2}$ - Probability second card even: $\frac{4}{8} = \frac{1}{2}$ - If first card was even (4 even cards initially, now 3 even left, total cards left 8): - Probability second card odd: $\frac{5}{8}$ - Probability second card even: $\frac{3}{8}$ 5. **Summary of tree diagram branches:** - First draw: Odd ($\frac{5}{9}$), Even ($\frac{4}{9}$) - Second draw after Odd: Odd ($\frac{1}{2}$), Even ($\frac{1}{2}$) - Second draw after Even: Odd ($\frac{5}{8}$), Even ($\frac{3}{8}$) This tree diagram visually represents all possible outcomes and their probabilities for the two draws noting odd/even. **Final note:** The tree diagram is a conceptual tool here; the user requested an image which cannot be generated in this format, but the above probabilities and branches fully describe the tree structure.