Running it twice

[Voltron87]

Does running a race multiple times change the EV of the situation? Is there a program that can calculate this?

The question has to do with AK vs KK. If you run it twice, or five times, does it become more +EV for KK because AK only has a finite number of outs? Is there a program that can do running it twice?

Thanks

[probman]

The EV does not change with indpendent identical runs, i.e. the EV of the normalized sum is the EV or the first hand. However, the variance drops of as 1/n. So the more hands you play the smaller the variance of the normailized sum.

[Voltron87]

But these aren't "independent identical runs".

Run the board, then run the board again. The first 5 cards are not shuffled back in.

[pzhon]

[ QUOTE ]
The EV does not change with indpendent identical runs, i.e. the EV of the normalized sum is the EV or the first hand.

[/ QUOTE ]
The usual method for running it twice does not produce independent trials, but it still doesn't change the EV.

E(A+B) = E(A)+E(B), even if A and B are not independent.

[Ulysses]

... (http://forumserver.twoplustwo.com/showthreaded.php?Cat=&Number=1889526&page=&view=&s b=5&o=&vc=1)