fennerm / fennerm/pmultinom

incorect calculation?

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Description

Dear @fennerm,

I think there is a disagreement between the documentation (and your examples) and the calculation.
Namely, the 4 balls example:
_For 4 balls randomly thrown into 2 bins, probability that all bins end up with 2 or fewer balls
pmultinom(q = 2, n = 4, prob = c(0.5, 0.5))
[1] 0.3361880568`_

That means that only one scenario is possible: 2 balls in each bin (since all together there should be 4 balls), which can be calculated with the
`dbinom(x = 2, size = 4, prob = 0.5) `
[1] 0.375

Best,
Vlada

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