Worksheet on independent and dependent events with probability problems and a dartboard illustration.

To solve the problem, we need to determine whether each event is independent or dependent. Let's go through each scenario step by step.

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Definition of Independent and Dependent Events:

- Independent Events: Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.
- Dependent Events: Two events are dependent if the occurrence of one event affects the probability of the other event occurring.

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Problem Analysis:

#### 1. Kyle rolls a number cube and spins a spinner.
- Rolling a number cube and spinning a spinner are two separate actions that do not influence each other.
- The outcome of rolling the cube does not affect the outcome of spinning the spinner.
- Conclusion: These events are independent.

#### 2. Kim picks a coffee filter from a box and then picks a second coffee filter without replacing the first coffee filter.
- When Kim picks the first coffee filter, the total number of filters in the box decreases.
- This means the probability of picking the second coffee filter is affected by the first pick (since there is one less filter).
- Conclusion: These events are dependent.

#### 3. Joyce chooses a snack food from a drawer of snacks, then chooses a second snack without replacing the first.
- Similar to the previous scenario, choosing the first snack reduces the total number of snacks available for the second choice.
- The probability of the second choice depends on the first choice.
- Conclusion: These events are dependent.

#### 4. Kent flips a coin and rolls a die.
- Flipping a coin and rolling a die are two separate actions that do not influence each other.
- The outcome of flipping the coin does not affect the outcome of rolling the die.
- Conclusion: These events are independent.

#### 5. Lisa draws a card from a deck, puts it aside, and then draws an ace.
- Drawing the first card removes it from the deck, which changes the composition of the deck.
- This affects the probability of drawing an ace on the second draw.
- Conclusion: These events are dependent.

#### 6. Brandi throws a dart and hits the board’s cap, and her second dart also hits the bull’s eye.
- The outcome of the first dart throw does not affect the probability of the second dart hitting the bull’s eye.
- Each dart throw is an independent action.
- Conclusion: These events are independent.

#### 7. Carlton is making a bracelet. She selects a white bead, doesn’t replace it, then selects another red bead.
- Selecting the first bead (white) reduces the total number of beads available for the second selection.
- The probability of selecting the second bead (red) is affected by the first selection.
- Conclusion: These events are dependent.

#### 8. Yolanda rolls a number cube, replaces it, and rolls again.
- Since Yolanda replaces the cube after the first roll, the total number of outcomes remains the same for the second roll.
- The outcome of the first roll does not affect the outcome of the second roll.
- Conclusion: These events are independent.

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Final Answer:

\[
\boxed{
\begin{array}{ll}
1. & \text{Independent} \\
2. & \text{Dependent} \\
3. & \text{Dependent} \\
4. & \text{Independent} \\
5. & \text{Dependent} \\
6. & \text{Independent} \\
7. & \text{Dependent} \\
8. & \text{Independent} \\
\end{array}
}
\]