Hi @MedianPuppy4982 and @Mark_Bailey : I see where the confusion is coming from.
Here: Fisher’s Exact Test Report (jmp.com)
Therein, it says:
"The Fisher’s Exact Test report includes the following information:
Table Probability (P)
The probability for the observed table. This is not the p-value for the test.
Two-sided Prob ≤ P
The significance probability (p-value) for the two-sided test."
The above is true for the general r x c table case as in my example screenshot below (I have a binary response, and a three level factor) where my table is 3 rows by 2 columns.
But, in the 2 x 2 case (like @MedianPuppy4982 has) it gives p-values only as @MedianPuppy4982 output shows. .