Hypergeometric or binomial probability density DAX functions?

OK, the hypergeometric distribution formula I have in my book is hard to write here because there is no formula editor but it goes like this:

P(X=k) = (K k)( N-K n-k) / (N n)

So, (K k) combinations (N-k n-k) combinations, (N n) combinations. So, I assume you have measures or variables for K, k, N and n. The recipe basically goes like below, it is very well explained in the book exactly what is going on:

Probability = 
    VAR __Error =
        IF(ISBLANK([K Value]) || 
            ISBLANK([k Value 2]) || 
                ISBLANK([N Value]) || 
                    ISBLANK([n Value 2]) || 
                        [n Value 2]<[k Value 2] || 
                            [K Value]<[k Value 2] || 
                                [N Value]<[n Value 2] || 
                                    [N Value]<[K Value],
            TRUE(),
            FALSE()
        )
    VAR __Numerator = 
        IF(
            ISERROR(
                COMBIN([K Value],[k Value 2]) *
                    COMBIN([N Value]-[K Value],[n Value 2]-[k Value 2])
            ),
            -1,
            COMBIN([K Value],[k Value 2]) *
                COMBIN([N Value]-[K Value],[n Value 2]-[k Value 2])
        )
    VAR __Demoninator = 
        IF(
            ISERROR(COMBIN([N Value],[n Value 2])),
            -1,
            COMBIN([N Value],[n Value 2])
        )
RETURN
    IF(
        __Error || __Demoninator = -1 || __Numerator = -1,
        "Bad Parameters",
        DIVIDE(__Numerator,__Demoninator,0)
    )

There is a LOT of error checking going on here because you can generate a ton of errors caculating out the probability. Otherwise, the basic formula is pretty simple because of the COMBIN DAX function.