>>809628I can write a program that says the answer is 1/27π. It will be badly written, it would be wrong, I would obviously have read the problem incorrectly, and yet I can translate my wrong answer into a program that use the same incorrect numbers that I used by mistakes. I apply this logic equally to me and to you, to correct answers and to incorrect answers. Programming is a language. In this case we are translating a math problem into a different language that is used by computers. The program will repeat your answer regardless of whether you read the question correctly. A translation is not a proof of anything. If you translate a wrong answer from english to french or german it is still a wrong answer, the translation did nothing to change the situation.
Please consider the following picture. It's the same problem with a slight modification. Let us take one step at the time. Would you agree that you have one chance out of three of picking any of the three green balls?