Probability spinner math worksheet with answers, designed for educational use.

Problem Analysis:

The worksheet involves a spinner divided into sections of different colors: blue, yellow, green, and red. The total number of sections is 18, with the following distribution:
- Blue: 5 sections
- Yellow: 3 sections
- Green: 3 sections
- Red: 7 sections

The task is to calculate probabilities for various outcomes based on this spinner. Probabilities are calculated using the formula:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]

Solution to Each Problem:

#### 1. What is the probability of the spinner landing on blue?
- Favorable outcomes: 5 (blue sections)
- Total outcomes: 18
\[
\text{Probability} = \frac{5}{18}
\]
Answer: \(\boxed{\frac{5}{18}}\)

#### 2. What is the probability of the spinner not landing on blue?
- Favorable outcomes: \(18 - 5 = 13\) (sections that are not blue)
- Total outcomes: 18
\[
\text{Probability} = \frac{13}{18}
\]
Answer: \(\boxed{\frac{13}{18}}\)

#### 3. Do you have an equal chance of landing either on yellow or green?
- Yellow sections: 3
- Green sections: 3
Since the number of sections for yellow and green is the same, the chances are equal.
Answer: Yes

#### 4. What is the probability of the spinner landing on either green or yellow?
- Favorable outcomes: \(3 + 3 = 6\) (green + yellow sections)
- Total outcomes: 18
\[
\text{Probability} = \frac{6}{18} = \frac{1}{3}
\]
Answer: \(\boxed{\frac{1}{3}}\)

#### 5. What is the probability of the spinner not landing either on red or green?
- Favorable outcomes: \(18 - (7 + 3) = 8\) (sections that are neither red nor green)
- Total outcomes: 18
\[
\text{Probability} = \frac{8}{18} = \frac{4}{9}
\]
Answer: \(\boxed{\frac{4}{9}}\)

#### 6. Do you have an equal chance of landing either on blue or red?
- Blue sections: 5
- Red sections: 7
Since the number of sections for blue and red is different, the chances are not equal.
Answer: No

#### 7. What is the probability of the spinner not landing on yellow, blue, or green?
- Favorable outcomes: \(18 - (3 + 5 + 3) = 7\) (sections that are not yellow, blue, or green)
- Total outcomes: 18
\[
\text{Probability} = \frac{7}{18}
\]
Answer: \(\boxed{\frac{7}{18}}\)

#### 8. What is the probability of the spinner landing either on red, blue, or green?
- Favorable outcomes: \(7 + 5 + 3 = 15\) (red + blue + green sections)
- Total outcomes: 18
\[
\text{Probability} = \frac{15}{18} = \frac{5}{6}
\]
Answer: \(\boxed{\frac{5}{6}}\)

#### 9. What is the probability of the spinner not landing on either red or yellow?
- Favorable outcomes: \(18 - (7 + 3) = 8\) (sections that are neither red nor yellow)
- Total outcomes: 18
\[
\text{Probability} = \frac{8}{18} = \frac{4}{9}
\]
Answer: \(\boxed{\frac{4}{9}}\)

#### 10. Do you have an equal chance of landing either on red or green?
- Red sections: 7
- Green sections: 3
Since the number of sections for red and green is different, the chances are not equal.
Answer: No

Final Answer:

\[
\boxed{\frac{5}{18}, \frac{13}{18}, \text{Yes}, \frac{1}{3}, \frac{4}{9}, \text{No}, \frac{7}{18}, \frac{5}{6}, \frac{4}{9}, \text{No}}
\]