Running It Twice

[Jazza]

for those who don't know what it means i think it's easiest to show an example:

two players playing NL holdem get it all in on the flop, player A has K[img]/images/graemlins/heart.gif[/img]K[img]/images/graemlins/spade.gif[/img], player B has
A[img]/images/graemlins/diamond.gif[/img]J[img]/images/graemlins/diamond.gif[/img], and the flop is 9[img]/images/graemlins/diamond.gif[/img]4[img]/images/graemlins/diamond.gif[/img]2[img]/images/graemlins/spade.gif[/img]

after seeing each other's hand and realizing it is about a coin flip, they agree to 'run it twice'

the dealer now deals the turn and river, and a second turn and river:

first turn and river: 8[img]/images/graemlins/diamond.gif[/img]5[img]/images/graemlins/diamond.gif[/img]
second turn and river: T[img]/images/graemlins/spade.gif[/img]J[img]/images/graemlins/club.gif[/img]

now, because they won one each, they split the pot

had one of the players won both boards, he would take the whole pot

running it twice reduces variance, which many players are happy to do, but my question is can running it twice change the EV for the players?