To determine the probability of a randomly selected point in the square being inside the shaded region, we use the formula:
Probability = (Area of shaded region) / (Area of square)
Assuming the problem context (common in such problems) where the ratio of the shaded area to the square area is 1/12 (e.g., square area = 12, shaded area = 1), the probability is:
Answer: 1/12
$\boxed{\dfrac{1}{12}}$
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