Basketball shots are classified into $close-range,\;mid-range$ and $long-range$ shots. Long range shots are worth $3$ points, while close-range and the mid-range shots are worth $2$ points. Of the shots that LeBron James attempts, $45\%$ are close-range, $25\%$ are mid-range, and $30\%$ are long-range. He successfully makes $80\%$ of the close-range shots, $48\%$ of the mid-range shots, and $40\%$ of the long-range shots.
What is the probability that a successful 2-point shot attempt by LeBron is a close-range shot?
- $\frac{2}{5}$
- $\frac{3}{5}$
- $\frac{3}{7}$
- $\frac{3}{4}$
