Largest table total: C(60, 30) * 30 still fits in a Long.
C(60, 30) * 30
The one-sided exact p-value of the 2x2 table [[a, b], [c, d]]: the probability, with all margins fixed, of a or more in the top-left cell. For an experiment a is the failures in the treatment arm, b its passes, c and d the control's.
[[a, b], [c, d]]
a
b
c
d