Suppose a box contains 500 white balls and 500 green balls. Five balls are taken at random without replacement. What is the approximate probability that 2 white balls and 3 green balls are taken?
I calculated using $$\frac{C(500,2) * C(500, 3)}{C(1000,5)}$$ and I get ~.313. Does this make sense? I feel like it's too high of a value.
Any help is appreciated. Thanks.