Students practice calculating basic probability by analyzing four different spinners divided into various colored sections.

Problem Analysis:

The worksheet consists of four sections, each featuring a spinner with different colored sections. The tasks involve calculating the total number of pieces in the spinner and determining the probability of landing on specific colors when spinning the spinner once.

Solution:

#### Section 1:
- Spinner Description: The spinner is divided into 8 equal sections, with colors: white, black, gray, and dark gray.
- Questions:
1. How many pieces are there total in the spinner?
- There are 8 pieces in total.
2. If you spun the spinner 1 time, what is the probability it would land on a white piece?
- There are 2 white pieces out of 8.
- Probability = \(\frac{\text{Number of white pieces}}{\text{Total number of pieces}} = \frac{2}{8} = \frac{1}{4}\).
3. If you spun the spinner 1 time, what is the probability it would land on a black piece?
- There are 2 black pieces out of 8.
- Probability = \(\frac{\text{Number of black pieces}}{\text{Total number of pieces}} = \frac{2}{8} = \frac{1}{4}\).

#### Section 2:
- Spinner Description: The spinner is divided into 8 equal sections, with colors: blue and white.
- Questions:
1. How many pieces are there total in the spinner?
- There are 8 pieces in total.
2. If you spun the spinner 1 time, what is the probability it would land on a blue piece?
- There are 5 blue pieces out of 8.
- Probability = \(\frac{\text{Number of blue pieces}}{\text{Total number of pieces}} = \frac{5}{8}\).
3. If you spun the spinner 1 time, what is the probability it would land on a white piece?
- There are 3 white pieces out of 8.
- Probability = \(\frac{\text{Number of white pieces}}{\text{Total number of pieces}} = \frac{3}{8}\).

#### Section 3:
- Spinner Description: The spinner is divided into 8 equal sections, with colors: green and purple.
- Questions:
1. How many pieces are there total in the spinner?
- There are 8 pieces in total.
2. If you spun the spinner 1 time, what is the probability it would land on a green piece?
- There are 5 green pieces out of 8.
- Probability = \(\frac{\text{Number of green pieces}}{\text{Total number of pieces}} = \frac{5}{8}\).
3. If you spun the spinner 1 time, what is the probability it would land on a purple piece?
- There are 3 purple pieces out of 8.
- Probability = \(\frac{\text{Number of purple pieces}}{\text{Total number of pieces}} = \frac{3}{8}\).

#### Section 4:
- Spinner Description: The spinner is divided into 10 equal sections, with colors: blue and white.
- Questions:
1. How many pieces are there total in the spinner?
- There are 10 pieces in total.
2. If you spun the spinner 1 time, what is the probability it would land on a blue piece?
- There are 7 blue pieces out of 10.
- Probability = \(\frac{\text{Number of blue pieces}}{\text{Total number of pieces}} = \frac{7}{10}\).
3. If you spun the spinner 1 time, what is the probability it would land on a white piece?
- There are 3 white pieces out of 10.
- Probability = \(\frac{\text{Number of white pieces}}{\text{Total number of pieces}} = \frac{3}{10}\).

Final Answers:

1. Section 1:
- Total pieces: \(8\)
- Probability (white): \(\frac{1}{4}\)
- Probability (black): \(\frac{1}{4}\)

2. Section 2:
- Total pieces: \(8\)
- Probability (blue): \(\frac{5}{8}\)
- Probability (white): \(\frac{3}{8}\)

3. Section 3:
- Total pieces: \(8\)
- Probability (green): \(\frac{5}{8}\)
- Probability (purple): \(\frac{3}{8}\)

4. Section 4:
- Total pieces: \(10\)
- Probability (blue): \(\frac{7}{10}\)
- Probability (white): \(\frac{3}{10}\)

Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Section 1: } 8, \frac{1}{4}, \frac{1}{4} \\
\text{Section 2: } 8, \frac{5}{8}, \frac{3}{8} \\
\text{Section 3: } 8, \frac{5}{8}, \frac{3}{8} \\
\text{Section 4: } 10, \frac{7}{10}, \frac{3}{10}
\end{array}
}
\]