Subjects probability

Sunflower Probability C9Eaa7

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1. **State the problem:** We want to find the probability that at least 7 out of 8 sunflowers grow to be six feet tall based on Chad's simulation results. 2. **Understand the data:** The table shows the number of trials (out of 1000) for each count of sunflowers growing tall (numbers at most 8): - 7 sunflowers tall: 335 trials - 8 sunflowers tall: 165 trials 3. **Formula for probability:** $$\text{Probability} = \frac{\text{Number of favorable trials}}{\text{Total trials}}$$ 4. **Calculate the probability for at least 7 sunflowers tall:** $$P(\text{at least 7}) = P(7) + P(8) = \frac{335}{1000} + \frac{165}{1000}$$ 5. **Add the probabilities:** $$P(\text{at least 7}) = \frac{335 + 165}{1000} = \frac{500}{1000}$$ 6. **Simplify the fraction:** $$\frac{500}{1000} = \frac{\cancel{500}}{\cancel{1000}} = \frac{1}{2} = 0.5$$ 7. **Convert to percentage:** $$0.5 \times 100 = 50\%$$ **Final answer:** The probability that at least 7 of the sunflowers will grow to be six feet tall is **50%**.