woops

sorry. what its coming down to, is that 234 is a winner for 56, and not 67. the other cards don't matter. Its impossible to list every single hand that makes a straight for both hands including the x x cards. in A2345, if you have 56 the only cards that "count" are 234, if you have 67, the only ones that "count" are 345. The others could be any two in xx as they are not participating in the straight.

When you think about it logically, don't you think 56 would make the same number of straights as 67? So would 78? If not, why not?

go back to this list

with 56, 234, 347, 478, 789 make winning straights.

with 67, 345, 458, 589, 8910 make winning straights.

with 78, 456, 569, 6910, 10JQ make winning straights.

The other two cards are 100% irrelevant. It doesn't matter if the board is 234AK or 234 KK or A2345, so long as the board does not create a tie, the only cards that matter are the cards that make the winning straight. What matters is that the odds of 234, 345, or any of these straight forming cards showing up on the board are exactly the same. Once you can establish the idea that there are the same number of winning straights for each of these three hands, then you can look at the number of ties exclusively and i think you'll understand.