Select the correct answer from each drop-down menu.

Shona spins a spinner with three equal-sized spaces—red, green, and yellow—and then rolls a six-sided die numbered from 1 to 6.

The sample size for this compound event is 6121418. If instead of three colored spaces, the spinner has four colored spaces, the sample size would be 12141824.

Let's break down the two scenarios described:

### Scenario 1:
- The spinner has 3 equal-sized spaces (red, green, yellow).
- The die is a six-sided die, with numbers from 1 to 6.

The total sample space for this compound event is calculated by multiplying the number of outcomes from the spinner by the number of outcomes from the die.

\[
\text{Sample space} = 3 \times 6 = 18
\]

Therefore, **the sample size for this compound event is 18**.

### Scenario 2:
- Now, the spinner has 4 equal-sized spaces (let's assume four colors).
- The die remains the same, with 6 sides.

The total sample space for this new scenario is:

\[
\text{Sample space} = 4 \times 6 = 24
\]

Thus, **the sample size for this new scenario would be 24**.

### Answers:
- For the first drop-down, select **18**.
- For the second drop-down, select **24**.

Would you like further details on how to approach compound probability questions like this? Here are some related questions to expand on this concept:

1. How do you calculate the sample space for multiple independent events?
2. What is the probability of rolling an odd number on a six-sided die?
3. If a spinner has five equal sections, how does that affect the sample space?
4. How can you determine the probability of a specific outcome in a compound event?
5. What is the difference between theoretical and experimental probability?

**Tip:** To calculate the sample space of compound events, always multiply the number of outcomes of each independent event.

Shona spins a spinner with three equal-sized spaces—red, green, and yellow—and then rolls a six-sided die numbered from 1 to 6. The sample size for this compound event is 18. If instead of three colored spaces, the spinner has four colored spaces, the sample size would be 24.

Learn how to calculate the sample space for compound events like spinning a spinner and rolling a die. This example involves a spinner with either 3 or 4 spaces and a 6-sided die. Explore key probability concepts and the multiplication rule for counting. Suitable for students in Grades 6-8.

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