Subjects probability

Experimental Probability F72A98

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1. **State the problem:** We have a spinner with results from an experiment showing frequencies for colors Blue, Red, Green, and Yellow. We want to find the experimental probability of landing on Green and then predict how many times Green will land in 50 spins. 2. **Write down the data:** - Blue: 7 - Red: 9 - Green: 6 - Yellow: 8 3. **Calculate total spins in the experiment:** $$\text{Total spins} = 7 + 9 + 6 + 8 = 30$$ 4. **Calculate experimental probability of Green:** $$P(\text{Green}) = \frac{\text{Frequency of Green}}{\text{Total spins}} = \frac{6}{30}$$ 5. **Simplify the fraction:** $$\frac{6}{30} = \frac{\cancel{6}}{\cancel{30}} = \frac{1}{5}$$ 6. **Use this probability to predict number of Green spins in 50 spins:** $$\text{Predicted Green spins} = P(\text{Green}) \times 50 = \frac{1}{5} \times 50 = 10$$ 7. **Final answer:** The prediction for the number of spins landing on Green in 50 spins is **10**.