In a coordinate plane, the lines \( l \) and \( m \) have equations \( y = -x + 4 \) and \( y = -2x + 6 \) respectively. A point is randomly selected in the first quadrant and below line \( l \). What is the probability that this point also lies between lines \( l \) and \( m \)? Express your answer as a decimal to the nearest hundredth. Let's think step by step and output the final answer within \boxed{}.
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