Subjects probability

Color Probability Bf39Da

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1. **State the problem:** We are given the frequency counts of colors from a spinner and need to find the probability that the next spin lands on red, expressed as a percent to the nearest whole number. 2. **Formula:** Probability of an event = \( \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)\n 3. **Calculate total outcomes:** Sum all frequencies: $$3 + 2 + 14 + 13 + 7 = 39$$ 4. **Calculate probability of red:** $$P(\text{red}) = \frac{3}{39}$$ 5. **Simplify fraction:** $$\frac{3}{39} = \frac{\cancel{3}^1}{\cancel{3}^{13}} = \frac{1}{13}$$ 6. **Convert to percent:** $$\frac{1}{13} \times 100 = 7.6923\ldots \approx 8\%$$ **Final answer:** The probability that the next spin lands on red is approximately **8%**.