Subjects probability

Spinner Dice Probability 4Fe8Db

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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 $\frac{1}{15}$.