Total of all the colors:
20 + 10 + 10 + 10 + 15 + 15 = 80 total golf balls
There are 10 orange ones, so the probability of picking an orange ball is : 10/80 which reduces to 1/8.
There is 15 red golf balls, so the probability of picking a red one is 15/80, which reduces to 3/16.
The probability of doing both would be 1/8 x 3/16 = 3/128.
The answer is 3/128.