How do you work out what percentage dog you are?

[RubicsPube]

How do you work out what percentage dog you are?

Say you have KJ suited and your your opponent has AT off, Heads up, Pre flop.

I know that KJ is 43.89%
AT is 55.69%

But how do you interpret that as odds and percentage dog?

[Dice Man]

If x is your %, y is the size of the pot prior to betting, and z is the size of the bet you have to call to remain in the pot, then you should call if:

z is less than x(y+2z)

So if your % is approximately 0.44, the pot has 100 chips in prior to betting, and your opponent has gone all in for another 500, and you know he has AT to your KJ, then you should fold. If he only has 400 left then you should call.

In the first case your EV in folding is 500 chips, since that's the amount of chips you keep by folding. Your EV in calling is 44% of the pot of 1100, which is 484 chips. Hence you can expect to lose 16 chips every time you call him on average every time in the long run of the game.

There are other factors that could also figure in these calculations but they are more subjective and cannot really be factored into the equation:

Implied odds: you can call with -EV if it's the case that if you do luckily hit your outs you can put in an extra big bet at the next opportunity and get paid off. So you're calculating here using the unknown of how many more chips your opponent will commit when behind. Implied odds aren't a factor when you or your opponent are required to go all in now, since there won't be any extra chips to come. Implied odds are a greater factor in No Limit than in Pot Limit, and greater in Pot Limit than in Limit.

Stacks of remaining opponents: you sometimes have to evaluate how much a single chip translates to in terms of money gained. In a cash game chips are money. In a tournament places are money. For example if you're playing 4-handed and 3 pay, CL has 1000, you have 700 and both short stacks have 200 chips, if CL puts you all in but you have odds to call him then it might be better to fold, since folding will still practically guarantee you at least 2nd place money, whereas calling gives you a high chance of making no money.

Anyone can work out odds using the factors of x,y and z above, but it is the subjective factors that make good poker players, and those factors are the reason why robots cannot be programmed to play good poker.

[Thor2007]

Excellent post, Diceman.

[PokerWoody]

How do you work out what percentage dog you are?

Say you have KJ suited and your your opponent has AT off, Heads up, Pre flop.

I know that KJ is 43.89%
AT is 55.69%

But how do you interpret that as odds and percentage dog?

55.69 / 43.89 = 1.27 to 1 favorite

43.89 / 55.69 = 0.78/1.
1 / 0.78 = 1.27 to 1 dog.

or roughly a 5/4 dog