Sorry, had to eat dinner.
... And how did you know I was refering to AoPS. Whatever, irrelevent.
Here is why I did that.
So, if we took the probability that the red is first, then it is 4/15. Because there is no replacement, we have to remove one value from both numerator and denominator: (4-1)/(15-1). One mpre time for the third: (4-2)/(15-2). Then we multiply them all together. Careful: if you subtract 1/1 instead of 1 from the numerator and 1 from the denominator, then you will get a wrong number.
This in mind, tell me how I did the other 2 parts: white and blue. Just reply to this thread.