At my casino you have the option of running it multiple times. In this scenario, with you holding AK and your opponent holding QQ, is better to only run it once in this scenario since the odds of winning both run outs holding AK is not very good because of card removal. If the first runout comes A or K and rest low cards, i.e. You win the first runout, your odds of winning second runout drop to 40%. However if the first runout comes all low cards ie QQ wins first runout your odds of winning second runout only increase by 1%, ie removing an A or K from the deck has a much greater impact on equities than removing low cards.

Ev is the same. If you deal two boards, there is no reason why the distribution of one board should be any different than the other. Conditioning on the first board just confuses the matter.

Decisions to run it once vs run it twice should be made with bankroll considerations, variance toleration, and min/max/biggest stack at the table considerations.

Not the hand that you are holding.
Running once or twice doesn't change your likelihood to win.

EV is exactly the same, no matter how many times you run it. DUCY? (hint, card removal goes on both sides of each run).

Some people find it better to be "never run it twice" guys, as it increases their FE. Other people, whose lines are more value oriented, prefer to always run it twice, as they will get more calls from draws that are paying too much. Switching it around can tilt people and give you a bad rep, which I think loses way more value than the temporary tilt it inspires. Pick one and stick with it, imo.

personally, I always leave it up to my opponent, since it makes absolutely no EVdifference, no matter what card each of us hold.

There is no difference in EV. I like to generate a friendly, laid back atmosphere and generally I would allow my opponent to decide. Personally if I am well rolled for the game I would prefer to run it once to bust people and get more money on the table. If I am not comfortably rolled I'd prefer to run it twice to reduce variance.

No EV difference as said about, relevant factors are:

- This effectively reduces variance by bringing us closer to EV, this is a real if small benefit
- It takes extra time
- Opponent reaction and/or perceptions

It's not a particularly important decision.

You are all forgetting one important aspect

probably the only time I will run it twice is if there is a big spot in the game, and the game will likely break if a player busts/leaves

OP, would you only want to run it once if you had QQ?

Or do you just want to run it twice when you are behind?

Just seen you trolling someones PGC thread who is having problems with their mental game.. meanwhile theyre like 7k+ and youre asking dumb questions like this. Thought it would be worth the lol to comment. GG

QQ vs AK has 54-57% chance of winning so I would only run it once


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Are implying you would run it twice in an 80-20 scenario but not a 50-50? This seems backwards. The closer you are to a flip the greater an effect running it twice has.

Let the pot size be 1. Let 'p' be our winning probability (assume it's the same as our equity for simplicity)

y = RIO Variance = p*(1-p)^2+(1-p)*p^2

dy/dp = 0 = (1-p)^2-2p*(1-p)-p^2+2p*(1-p)
0 = (1-p)^2-p^2
0 = (1-p+p)(1-p-p)
0 = 1-2p
p = .5

Over the interval p = [0, 1], Variance is maximized at p = .5.

RIT halves variance.

z = RIT variance = p^2*(1-p)^2+2*p*(1-p)*(.5-p)^2+(1-p)^2*p^2

y = 2*z
p*(1-p)^2+(1-p)*p^2 = 4*p^2*(1-p)^2+4*p*(1-p)*(.5-p)^2
(1-p)+p = 4*p*(1-p)+4*(.5-p)^2
1 = 4*p-4*p^2+1-4*p+4*p^2
1 = 1

No if I'm the favored I would only run it once

When I'm behind I like to run it more than once


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Why?

I only run it once when I'm drawing and my toes are tingling. Very good indicator of if it will come in or not.

I also will run it multiple times with women. Never with men.

No trolling strat threads, no matter how much you think OP deserves it!