Math Help - joint probability mass function

from a deck of 52 cards,,, 13 are chosen at random. Calculate the joint probability mass function of the #'s of hearts, clubs, diamonds and spades that are selected.

I think this is a bivariate statistic

Originally Posted by Andreamet

from a deck of 52 cards,,, 13 are chosen at random. Calculate the joint probability mass function of the #'s of hearts, clubs, diamonds and spades that are selected.

Originally Posted by Andreamet

from a deck of 52 cards,,, 13 are chosen at random. Calculate the joint probability mass function of the #'s of hearts, clubs, diamonds and spades that are selected.

Read this thread - this time you have a multinomial distribution with n = 13 and pr(heart) = pr(spade) = pr(diamond) = pr(club) = 1/4.

Originally Posted by Andreamet

from a deck of 52 cards,,, 13 are chosen at random. Calculate the joint probability mass function of the #'s of hearts, clubs, diamonds and spades that are selected.

If the choosing is done without replacement, the pmf will be a multivariate hypergeometric distribution:



where h + d + c + s = 13.

You could also build in the h + d + c + s = 13 restriction and write it as:

.