Step 1 :Define the number of each color of golf balls: \(orange\_balls = 6\), \(green\_balls = 10\), \(red\_balls = 9\)
Step 2 :Calculate the total number of balls: \(total\_balls = orange\_balls + green\_balls + red\_balls = 25\)
Step 3 :Calculate the probability of the golf ball being orange or green: \(probability\_orange\_or\_green = \frac{orange\_balls + green\_balls}{total\_balls} = 0.64\)
Step 4 :Final Answer: The probability that the golf ball is orange or green is \(\boxed{0.64}\)