https://file.aiquickdraw.com/mathbot/file/1725843148042s55zl85o.jpg

I see you've uploaded an image. Let me extract and analyze the content to assist you with the problem.The image contains a table, mathematical expressions, and questions in Chinese. Here's a breakdown of the content:

1. **Table Description:**
   The table has two columns: "商标/品牌" (Trademark/Brand) and "数量" (Quantity). Below are the entries in the table:
   - 品牌A (Brand A): 3
   - 品牌B (Brand B): 2
   - 品牌C (Brand C): 1
   - 品牌D (Brand D): 4

2. **Questions (translated):**
   - **Question 1:** If you randomly select one item from the sample data, calculate the probability that the item belongs to 品牌D (Brand D).
   - **Question 2:** If you randomly select one item from the sample data, calculate the probability that the item belongs to either 品牌A (Brand A) or 品牌B (Brand B).
   - **Question 3:** If you randomly select one item from the sample data, calculate the probability that the item does not belong to 品牌C (Brand C).

### Step-by-Step Solution:

1. **Total Items:**
   - Sum of all items: \(3 + 2 + 1 + 4 = 10\).

2. **Question 1: Probability of selecting 品牌D (Brand D):**
   - \( P(\text{品牌D}) = \frac{\text{Number of items in 品牌D}}{\text{Total number of items}} = \frac{4}{10} = 0.4 \).

3. **Question 2: Probability of selecting 品牌A (Brand A) or 品牌B (Brand B):**
   - \( P(\text{品牌A or 品牌B}) = \frac{\text{Number of items in 品牌A} + \text{Number of items in 品牌B}}{\text{Total number of items}} = \frac{3 + 2}{10} = \frac{5}{10} = 0.5 \).

4. **Question 3: Probability of not selecting 品牌

The query submitted by the user involves a table with brand names and quantities, asking about probability calculations based on the sample data. The questions are related to selecting items from different brands and calculating probabilities.

Learn how to calculate probabilities for selecting items from different brands using sample data. This problem involves a step-by-step solution with key statistical concepts and formulas for probability calculations. Suitable for students in Grades 6-8.

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