Basketball Field Goal Probability Analysis

A sports analytics team collected data on the performance of two basketball players, Player A and Player B, over a season.

The following statistics were observed:

• Player A: 60% field goal percentage, 3-point shooting percentage of 40%, made 70 field goals, and scored a total of 350 points.
• Player B: 50% field goal percentage, 3-point shooting percentage of 20%, made 50 field goals, and scored a total of 250 points.

Based on this data, what is the probability that a randomly selected field goal made by Player A was a 3-pointer? Express your answer as a simplified fraction.