@zachi_dv wrote: So now I understand how it is computed, but what is the significance of this number?
You could say, for example, if the observed table probability is greater than the significance level you had decided upon (e.g., a=0.05), then you don't need to look any further at the p-values (two-sided, left-sided, right-sided) as they are all necessarily greater than or equal to the table probability, i.e., the result of Fisher's exact test is definitely not significant at level a.
Technically, the table probability is the test statistic of Fisher's exact test. So it corresponds, e.g., to the chi-square value of Pearson's chi-square test.
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