Subjects probability

Experimental Probability 49E80E

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1. **State the problem:** We need to find the experimental probability of hitting the sector numbered "8" on a circular target after 120 throws, where the dart hits sector 8 exactly 17 times. 2. **Recall the formula for experimental probability:** $$\text{Experimental Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}$$ 3. **Identify values:** - Number of favorable outcomes (hits on sector 8) = 17 - Total number of trials (throws) = 120 4. **Calculate the experimental probability:** $$P(8) = \frac{17}{120}$$ 5. **Simplify the fraction if possible:** 17 and 120 have no common factors other than 1, so the fraction is already in simplest form. 6. **Express as a decimal (optional):** $$P(8) \approx 0.1417$$ **Final answer:** The experimental probability of hitting sector 8 is $$\frac{17}{120}$$ or approximately 0.1417.