Lets assume I have a card deck of 50 cards. My opening hand is 5 cards, and I want to calculate my chance of drawing at least 1 red and at least 1 blue.

N total = 50

N blue= 10

N red = 5

N others = 35

How would I go about this? I am using the HYPGEOMDIST function to find my probablity of drawing at least 1 blue. But I cant just multiply this number with the probablity of drawing at least 1 red to arrive at my answer, right?

Thanks for your help!