Subjects probability

Spinner Area 9Eaaef

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1. **State the problem:** Marco designed a spinner wheel with 4 equal sections (red, blue, green, yellow), each supposed to have a 25% chance of landing. 2. **Expected outcomes:** Since the spinner is spun 500 times, the expected number of times landing on each color is $$500 \times 0.25 = 125$$. 3. **Compare actual results to expected:** - Red: 80 (less than 125) - Blue: 165 (more than 125) - Green: 130 (slightly more than 125) - Yellow: 125 (exactly 125) 4. **Analyze the differences:** - Red is underrepresented by $$125 - 80 = 45$$ spins. - Blue is overrepresented by $$165 - 125 = 40$$ spins. - Green is overrepresented by $$130 - 125 = 5$$ spins. - Yellow matches expectation. 5. **Interpretation:** The red section is smaller than it should be, and the blue section is larger than it should be. 6. **Best fix:** To increase the red section's area, we need to decrease the area of the blue section (which is too large). This matches option B. **Final answer:** B. He should increase the area of the red section by decreasing the area of the blue section.