Probability quiz worksheet with multiple-choice questions involving spinners, dice, coins, and marbles.

Let's solve each problem step by step:

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Problem 1: What is the probability of landing on the orange section?

#### Image Description:
The spinner is divided into four equal sections, labeled as follows:
- Red (2 sections)
- Blue (1 section)
- Orange (1 section)

#### Solution:
1. The total number of sections in the spinner is 4.
2. The orange section occupies 1 out of these 4 sections.
3. The probability of landing on the orange section is the ratio of the number of orange sections to the total number of sections:
\[
\text{Probability} = \frac{\text{Number of orange sections}}{\text{Total number of sections}} = \frac{1}{4}
\]

#### Answer:
\[
\boxed{C} \quad \text{(1/4)}
\]

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Problem 2: What is the probability of rolling a cube and having it land as a six?

#### Image Description:
A standard six-sided die is shown.

#### Solution:
1. A standard die has 6 faces, numbered from 1 to 6.
2. There is only 1 face with the number 6.
3. The probability of rolling a 6 is the ratio of the number of favorable outcomes (rolling a 6) to the total number of possible outcomes (rolling any number from 1 to 6):
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{6}
\]

#### Answer:
\[
\boxed{A} \quad \text{(1/6)}
\]

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Problem 3: What is the probability of flipping a coin and getting heads?

#### Solution:
1. A standard coin has two sides: heads and tails.
2. There is only 1 favorable outcome (getting heads).
3. The probability of getting heads is the ratio of the number of favorable outcomes to the total number of possible outcomes:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{2}
\]

#### Answer:
\[
\boxed{B} \quad \text{(1/2)}
\]

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Problem 4: What is the probability of choosing a marble that is not green from the jar?

#### Image Description:
The jar contains marbles of different colors:
- Green marbles: 7
- Red marbles: 5
- Blue marbles: 3

#### Solution:
1. First, calculate the total number of marbles in the jar:
\[
\text{Total marbles} = 7 \text{ (green)} + 5 \text{ (red)} + 3 \text{ (blue)} = 15
\]
2. Next, determine the number of marbles that are not green:
\[
\text{Marbles that are not green} = 5 \text{ (red)} + 3 \text{ (blue)} = 8
\]
3. The probability of choosing a marble that is not green is the ratio of the number of marbles that are not green to the total number of marbles:
\[
\text{Probability} = \frac{\text{Number of marbles that are not green}}{\text{Total number of marbles}} = \frac{8}{15}
\]

#### Answer:
\[
\boxed{D} \quad \text{(8/15)}
\]

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Final Answers:

1. \(\boxed{C}\)
2. \(\boxed{A}\)
3. \(\boxed{B}\)
4. \(\boxed{D}\)