Why doesnt we simply answer as x/y where x is red and y is green ball
x/y is not a probability, it’s just a ratio. Let’s just say that there are 2 red and 1 green balls. Then according to you, the probability is 2. But probability can never be more than 1. Did you mean x/(x+y)?
sorry i meant to say x/x+y
The answer is
\frac{x}{x+y} + \frac{y}{x+y}\frac{y-1}{x+y-1}\frac{x}{x+y-2} + \frac{y}{x+y}\frac{y-1}{x+y-1}\frac{y-2}{x+y-2}\frac{y-3}{x+y-3}\frac{x}{x+y-4}, but this is probably harder to code, maybe?
x/(x+y) will be the probability that satyam wins on the first draw. You should also consider the possibility that he can win on his second, third or later draws.
Oh Yes…Thanks 
My bad 
Again Thanks