If I had a finite amount of red balls in a infinite sea of blue balls, what is the probability of grabbing a red ball?

Question

If I had a finite amount of red balls in a infinite sea of blue balls, what is the probability of grabbing a red ball? is it 0 because $\frac{n}{\infty} = 0$? But I can't accept that because if every one of those balls where grabbed by one of infinite people somebody would have needed to grab a red ball in order for all the balls to be grabbed

Answer 1

Say there are r red balls and b blue balls. The probability that you grab a red ball is $\frac{r}{r+b}$. As $b$ tends to infinity, the probability tends to $0$.