I'm terrible at math haha! Wondering if someone could help me out here!

Here are my qeustions: (I know a little bit about outs and stuff but not sure how it works keep that in mind)


1) Lets say i have AA How do i calculate my equity before i see any cards from my opponent or on the flop (Like in equity calculators )

2)How do i calculate the equity, on the flop turn and river.

3)How do it change when i know what card my opponent is holding?

Thanks! Plz make short and essay understandable explanations

1) you can't, without either assuming a range, or giving your opponent a "random" hand. In which case, see #3

2) it's usually difficult to "calculate" it, even if you know your opponents cards. Typically you just use an equity simulator, or make some estimates

3) if it's preflop, you use some well known precalculated numbers. It's common to memorize some of the basic combos
pair vs underpair
pair vs 2 under cards
pair vs 2 over cards
pair vs 1 over
2 overs vs 2 unders
2 cards vs 1 over
dominiated unpaired cards
etc

On the flop you can estimate with the "rule of 2" or "rule of 4", I can elaborate if you don't know what these are. These are just estimates though.

If you use a calculator (pokerstove or propokertools.com) all it is doing is dealing boards over and over and counting wins losses and ties.

Favorite-to-underdog matchup (approx.probs)

Matchup .......... Probability .. Odds for
Pair vs. 2 undercards 0.83 4.9 : 1
Pair vs. lower pair 0.82 4.3 : 1
Pair vs. 1 overcard, 1 undercard -unsuited 0.71 2.5 : 1
Pair vs 1 overcard, 1 undercard - suited 0.67 2.0 : 1
Pair vs. 2 overcards (race) 0.55 1.2 : 1
2 overcards vs. 2 undercards 0.63 1.7 : 1
Dominated - e.g., AK vs K2 0.73 2.7 : 1
One overcard vs non-pair; e.g. A5 vs 87 0.56 1.3 : 1

Lots of threads on this sort of stuff OP

Forget about poker. Let's talk about buying shares in a real estate project.

- How much money do you want?
- What's my cut?
- What is this thing gonna be worth when you're done?

Use those three questions to figure out if you're getting ripped off, or if you're getting a good deal.

Or you can look at it this way.

- How much is a lottery ticket?
- How many tickets have been sold?
- What's the jackpot?

Hmm.

- How much do you want for that bond?
- What's its face value?
- What are treasury bills paying these days, and what's the inflation rate?

Hmmmmmmm.

- How much does it cost to join the boat club?
- How many boats do you have, and how many people are in the club?
- What would it cost to just buy a new boat?

Hmmmmmmmmmmmmmmmm

- What is a share of APL going for these days?
- How many shares are outstanding?
- What do you reckon APL's real cash flow is gonna look like for the next five years?

Hmmmmmmmmmmmmmmmmmmmmmmmm

(I apologize in advance if you're already past this point. I found this mental framework to be very helpful in understanding the difference between calculating equity and calculating required odds. I could be a redneck.)

Op if you're still around ill do my best to explain. Once you have a grasp it makes decisions easier to understand in poker

I understand OP as asking how the calculations are done rather than what they mean or what the results are.

To compute the equity of AA versus a random hand, you consider all possible hands and boards. There are 2,097,572,400 of them so it would take a while to do them one at a time. Instead you use some mathematical tricks to reduce them to a few situations, and compute how common each one is. This is what RustyBrooks was getting at in (3).

For example, AA can face either AA, Ax, a lower pair or two lower unpaired cards. AA is easy, there is only one possibility for the hand (since you hold the other two Aces) and you will push unless the board contains four or five cards of the same suit.

Later in the hand, when you see more cards on the board the problem gets easier because there are fewer possibilities to consider. But it also gets harder because you have information about the other players' hands from their betting. That latter information is more difficult to process because it depends on how people play. The result will never be a pure mathematical one.

For your last situation, later in the hand knowing the other players' cards, we're back to the first one. You just consider all possible values for the cards remaining to be dealt, and see who wins.