Friday, July 28, 2006

Running it twice

Every once in a while on High Stakes Poker, the pros will run a hand twice to mitigate their risk and increase the chances of them chopping the pot.

One such hand came up between Sammy Farha and Mike Matasow in which they agreed to see all five community cards twice. Farha had AA and Matasow had TT.

At one point, Daniel Negreanu said something to the effect that running the community cards twice didn't matter in the long run.

As counterintuitive as it seems to me, he's right.

I would have thought that running it twice would help the underdog more than the person who's favored in the hand.

If I'm Farha and I hold AA vs. TT, the bullets have an 80-20 advantage, according to Two Dimes.

Courtesy of a random post that I found in a search:

Expected Value (EV) calculated for this situation (lets assume 88) when you run the cards once:

AA: (+$1000) * (0.8) + (-$1000) * (0.2) = +$600
88: (-$1000) * (0.8) + (+$1000) * (0.2) = -$600

Expected Value (EV) calculated for this situation (lets assume 88) when you run the cards twice:

AA: (+$1000) * (0.64) + (-$1000) * (0.04) + ($0) * (0.32) = $600
88: (-$1000) * (0.64) + (+$1000) * (0.04) + ($0) * (0.32) = -$600

The expected values are the same but when you run it twice, AA will lose his $1000 only 4% of the time and win $1000 64% of the time instead of losing his stack 20% of the time and winning 80% of the time.

It's merely just a way for a favorite to lessen his chances of losing his stack.


Agh! Math defeats my intuition once again.

Spoiler:

In the HSP hand, Farha's Aces hold up the first time through, but Matasow hits a Ten on the river of the second board to chop the pot. He looked excited enough to crap his pants.

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