A friend and I were playing Cribbage the other day and, at one point, my hand had a 6 count in the form of 15-2, 15-4 and a pair for 6. My friend then counted their hand, and had exactly the same count. Then I counted my crib (I was the dealer), and found that the crib also had exactly the same count. We were wondering what the odds of that happening are or is there a formula that we could use to predict other possible hand odds.
These kinds of weird personal coincidence problems aren't really amenable to a rigorous answer. Yes, one can work out the probability of some hand or combination of hands, but the post hoc decision that some or other hand is remarkable is not controlled by that analysis.