Running it twice

Voltron87 · #1 03-09-2005, 02:23 PM

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 · #2 03-09-2005, 03:01 PM

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 · #3 03-09-2005, 03:07 PM

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 · #4 03-09-2005, 03:08 PM

[ 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 · #5 03-09-2005, 03:09 PM

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