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Expectation Value (EV) Calculation (Page 1 of 4)

Any action you make in poker game should be focused on making a profit. Your efforts are worthwhile if they lead to the maximum profit possible or have the best average profit value. The average value of a possible profit is also named Expectation Value (EV).

Sometimes there are situations when you have several possible ways to play the hand. The profit of each variant = ev1, ev2,…,evN, the possibility of each variant = p1, p2,…, pN accordingly. Then the expectation value of the profit in the given situation is calculated by the formula:

EV = ev1*p1 + ev2*S2 + … + evN*SN (*)

The following is a very complicated example, but it has great practical value and touches on all the basic moments and rules of calculation. Let us assume that you have AK and raised on the preflop. The contender re-raised. Both stacks are 100BB. What is your best move? Should you call his re-raise, fold or re-raise (4bet)?

To answer these questions you need to calculate the EV of the call and the re-raise. The EV of the fold, obviously, is zero.

It is necessary to note that the EV of an action is the difference of our stack between the end and the beginning of an action, but not at the beginning of a hand. You can’t get the money you have just invested in the pot.

When you call:

Let us set a task first:

The opponent made 3bet of your raise (raise=5??, 3bet=15??). You need to determine the possibility of your opponent having certain hands.

Let us divide the range of 3bet into two groups

The first group: he will play 3bet every time; these are QQ+ and ??.

The second group: he will play 3bet less than 100% of the time.

JJ: 70%. It means that he will re-raise with JJ 70% of the time, and will not make any further play.

AQ, ??: 30% (no more for small limits)

AJ, QK: 20%

1)?? and ?? have three combinations each, QQ-6, ??- 9, total 18

2)JJ – 6

3)AQ – 12, ?? – 6, total 18

4)AJ, KQ – 12 each, total 24

The total number of hands the opponent may re-raise with

13+6*0.7+18*0.3+24*0.2 = 32,4

The possibility the opponent has ??:

?(??) = 3/32.4 = 0.09.

The possibility of other hands:

?(??) = ?(??) = 0.09.

?(QQ) = 6/32.4 = 0.19

P(AK) = 9/32.4 = 0.28

P(JJ) = 0.7*6/32.4 = 0.13

P(AQ) = 12*0.3/32.4 = 0.11

P(TT) = 6*0.3/32.4 = 0.06

P(AJ) = P(KQ) = 12*0.2/32.4 = 0.07

Let’s calculate the EV of various possibilities:

AA:

If you have K and/or A on the flop you should play with your entire stack.

The flop with a king and/or an ace may happen 23% of the time.

You may calculate this in the following way: one ace and three kings are left in the pack, four cards. To calculate the required probability, let’s calculate the probability of the opposite situation – there will be neither an ace nor a king on flop.

Video Games (Page 1 of 2)

Visit any video games sales outlet and you are sure to be overcome by the hundreds or even thousands of choices available, particularly if you are new to the gaming industry and say where can I find games at. Interestingly enough, kids and teenagers really know their way through these stores like they were their second home. But for the adult, the average video shop looks like some variety of color explosion and sooner or later, all the games begin to look alike. This short guide is for the grownup who is purchasing a game for a young kid or teenager possibly as a birthday present. Whatever the possible reason may be, you should value the following tips. This should help you answer the question, where can I find games at?

1. Research this strange phenomenon before entering a video game store. There’s a lot of data available about video games online, so to reduce stress and frustration offline, do a little searching. Visit the web site of the video game store in your town and then search in the video games section of the console that your child plays. Here we explain what those weird abbreviations mean:

DS = Nintendo’s DS System EA Sports = Entertainment Arts System PC = Personal Computer PS2 = Playstation 2 System PS3 = Playstation 3 System PSP = Playstation Portable System XBOX 360 = Microsoft’s XBOX 360 System Wii = Nintendo’s Wii System

You should find the game system on the store’s web site first. The console, it’s accessories, and all of the video games that go with that game console will follow. You may have to use the web site’s search engine to find what you are looking for.

2. After finding the proper video games section for your child’s game console, check the ratings of all the games and make a shopping list. Be sure to look for age appropriate material. Each video game is given a rating by The Entertainment Software Rating Board (ESRB) to inform parents what their kids are playing. Take a look at the rating reference below to see what they mean:

E = Appropriate for Everyone C = Appropriate for Early childhood E 10+ = Appropriate for Everyone aged 10 and older T = Appropriate for Teens M = Appropriate for Mature Adults

3. In your shopping list, look for a game that is based on the newest movie releases. Young kids really like the hot new animated motion pictures made by Pixar and Disney, and they truly love recreating scenes from a movie in a video game. The producers of the movies put a few video games in the “Special Features section” of the CDs when these movies come out on DVD.

4. If you don’t find wholesale video games that are based on a movie that your kid likes, look for a game that was made popular by a cartoon character or one that educates.

5. If you still can’t locate one that looks like something that you would be interested in, think a little deeper. You should pay better attention. Then surf over to the nearest Hollywood Video or Blockbuster website. Follow the same process defined in steps 1 – 3. This time, rent 4 or 5 games that look attractive. This should give your youngster an opportunity to play some video games and select one that you can buy while you return the rest.