For example, board will be like:
A 2 6 J 9
No one player can't collect straight with their any two hand cards.
1 Answer
Not sure the best way to calculate this, but I did a brute-force count.
I examined if any 2-card hands when added to the 2598960 possible 5-card boards formed a straight. Some of these 2-card hands are impossible (such as having pocket aces when 4 aces are on the board). But I think that there is no case where this creates a straight when one is impossible, so I didn't bother to exclude them.
If so, there are 658480 possible boards that cannot allow a straight to be completed with any 2-card hand. Or a bit over 25%.
Also this count ignores hands that would not be classified as a "straight" for other reasons. For instance, some of these straights are really a straight flush.
