To find the probability that a randomly chosen point lies in the shaded region, the approach is generally based on comparing the area of the shaded region to the area of the entire figure. Since the exact figure is not provided, I will guide you through the steps to calculate the probability if it is a standard geometric figure, such as a rectangle with a shaded subregion.

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Steps to Solve:

1. Determine Total Area of the Figure:

   • If the figure is rectangular with dimensions $15 \, \text{m} \times 24 \, \text{m}$, the total area is: $\text{Total Area} = 15 \times 24 = 360 \, \text{m}^2$

2. Calculate the Area of the Shaded Region:

   • If the shaded region's area is provided, use that value. If not, additional details (e.g., dimensions or formulas for the shaded part) are necessary.

3. Probability Formula:

   • Probability $P$ that a randomly chosen point is in the shaded region: $P = \frac{\text{Area of Shaded Region}}{\text{Total Area}} \times 100 \, (\%)$

4. Compare Results with Options:

   • Plug in the shaded area value into the formula, calculate the percentage, and match it to the closest option.

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If you upload the figure or provide further details about the shaded region, I can calculate the exact probability. Let me know if you'd like detailed help or additional guidance!

5 Related Questions:

1. How does the shape of the shaded region affect the calculation of probabilities?
2. What if the figure were a circle or another irregular shape?
3. Can this method be applied to non-geometric random selection problems?
4. How does one calculate shaded area for composite figures?
5. What real-world scenarios use this probability concept?

Tip: Always ensure you have the dimensions or formula for both the total and shaded areas for accurate probability calculations.