1. **State the problem:** We need to find the probability of getting an even number on the spinner and the color green on the dice.
2. **Identify probabilities from the problem:**
- Probability of spinner landing on an even number: $\frac{2}{5}$ (since even numbers are 2 and 4 out of 5 sections).
- Given the spinner shows even, the dice is thrown.
- Probability of dice showing green face: $\frac{1}{6}$ (since 1 green face out of 6).
3. **Use the multiplication rule for independent events:**
$$P(\text{Even and Green}) = P(\text{Even}) \times P(\text{Green} | \text{Even})$$
4. **Calculate the probability:**
$$P(\text{Even and Green}) = \frac{2}{5} \times \frac{1}{6} = \frac{2 \times 1}{5 \times 6} = \frac{2}{30}$$
5. **Simplify the fraction:**
$$\frac{2}{30} = \frac{\cancel{2}^1}{\cancel{30}^{15}} = \frac{1}{15}$$
**Final answer:** The probability of getting an even number and the color green is $\frac{1}{15}$.
Spinner Dice Probability 4Fe8Db
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