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To solve this problem, we need to calculate the probability of two independent events occurring: 

1. Spinning the spinner and landing on the red section.
2. Rolling a die and getting a four.

### Step-by-Step Solution:

#### 1. Probability of Landing on Red:

The spinner has 5 different colors, and each section is equally likely. Therefore, the probability of landing on any specific color, including red, is:

\[
P(\text{Red}) = \frac{1}{5}
\]

#### 2. Probability of Rolling a Four:

A standard die has 6 sides numbered 1 to 6. The probability of rolling a four is:

\[
P(\text{Four}) = \frac{1}{6}
\]

#### 3. Combined Probability:

Since these two events (landing on red and rolling a four) are independent, the probability of both events occurring is the product of their individual probabilities:

\[
P(\text{Red and Four}) = P(\text{Red}) \times P(\text{Four})
\]

Substitute the values:

\[
P(\text{Red and Four}) = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}
\]

### Final Answer:

The probability of getting red and a four is:

\[
\boxed{\frac{1}{30}}
\]

Would you like more details or have any questions?

### Related Questions:

1. What is the probability of landing on any color other than red and rolling a four?
2. What is the probability of landing on red or rolling a four?
3. If the die is rolled twice, what is the probability of getting two fours?
4. What is the expected number of times to land on red if the spinner is spun 30 times?
5. How would the probability change if the spinner had more sections?

### Tip:

When calculating the probability of independent events, multiply the probability of each event to get the overall probability.

Raoul spins this spinner, that has 5 different colours, and rolls a die. What is the probability of getting red and a four?

Learn how to calculate the probability of getting red on a spinner and rolling a four with a die. This problem covers fundamental probability concepts and the multiplication rule for independent events. Suitable for students in Grades 5-7.

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