Thread: Probability mass function

an urn contains 100 balls: 20 white, 30 black and 50 gray. SUpposed that 20 balls are chosen at random and without replacement. Let W,B, and G be the number of balls, respectibely. Calculate the probability mass function of B,W, and G

Originally Posted by Andreamet

an urn contains 100 balls: 20 white, 30 black and 50 gray. SUpposed that 20 balls are chosen at random and without replacement. Let W,B, and G be the number of balls, respectibely. Calculate the probability mass function of B,W, and G

You have a multivariate hypergeometric distribution:

Pr(W = w, B = b, G = g)

where w + b + g = 20.

You could also build in the w + b + g = 20 restriction and write the pmf as:

Pr(W = w, B = b, G = g) .


And, I hate to say it, but the jury question you posted a while ago will also follow a multivariate hypergeometric distribution since (I assume) there's no replacement after each juror is selected. The card one too - if there's no replacement. I've added a reply noting this to each of those threads.