which is still pretty significant. With probabilities this small, and events like these that are lightly-correlated, the second-order terms in the relevant Bonferroni inequality will be pretty small, so
P(any color = 18) ~= 5 * P(Nblue = 18) ~= 5%
(You could do all these calculations more exactly, but they are within a factor of 2.)
(If you take the largest discrepancy of the 5 colors, it's harder to compute.)
If you want to look at a large deviation from the expected:
which is pretty significant, especially considering you were looking at large deviations over any of five colors. In the other direction: which is still pretty significant. With probabilities this small, and events like these that are lightly-correlated, the second-order terms in the relevant Bonferroni inequality will be pretty small, so (You could do all these calculations more exactly, but they are within a factor of 2.)