1. The problem asks to draw a tree diagram representing the experiment of drawing two cards without replacement from a box containing cards numbered 1 to 9, noting whether each card is odd or even. 2. First, identify the total cards and their classification: - Total cards: 9 - Odd cards: 1, 3, 5, 7, 9 (5 cards) - Even cards: 2, 4, 6, 8 (4 cards) 3. For the first draw, the probability of drawing an odd card is $\frac{5}{9}$ and an even card is $\frac{4}{9}$. 4. For the second draw, since the first card is not replaced, the total cards reduce to 8. - If the first card was odd, remaining odd cards are 4, even cards remain 4. - If the first card was even, remaining even cards are 3, odd cards remain 5. 5. The tree diagram branches: - First level: Odd ($\frac{5}{9}$), Even ($\frac{4}{9}$) - Second level from Odd: Odd ($\frac{4}{8}$), Even ($\frac{4}{8}$) - Second level from 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 or even. Final answer: The tree diagram has two levels with branches and probabilities as described above.