## The Expected Value

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- Published on Sunday, 30 September 2012 14:08
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In the short and medium term, the luck factor influences the results. It is interesting to minimize the luck factor whenever possible. The Expected Value (EV) reduces it.

- For all pots without showdown, luck is not measurable. The hand's EV equals the hand's net gain.
- For all pots with showdown before the river, the players' private cards are known, therefore their odds of winning. One considers that the hand stops and that the pot is split according to each player's odds of winning.

Example :

- Player 1 owns As Qs and 6 $ at the hand's beginning
- Player2 owns Ks Kd and 5,25 $ at the hand's beginning
- The board is Ts 8s 2d
- Player1 is all-in and player 2 calls
- The pot is 10 $. The rake is 0,50 $
- Player1 has 44,1 % chance of winning, one considers he wins 4,41 $
- Player2 has 55,9 % chance of winning, one considers he wins 5,59 $
- In the end player 2 wins the hand :

- Net of player 1 is -5,25 $ (0 $ won for 5,25 invested)
- Net EV of player1 is -0,84 euro (4,41 $ in theory won for 5,25 invested)
- Net of player2 is 4,75 (10 $ won for 5,25 invested)
- Net EV of player2 is +0,34 euro (5,59 $ in theory won for 5,25 invested)

A session's net EV is the sum of its hands' net Ev.

The difference between EV and net Ev is called Diff. Ev, and reflects luck and bad luck.

## Net with and without showdown

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- Published on Sunday, 30 September 2012 14:21
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There are 2 types of hand :

- hands where the player was at showdown (if he has the best cards, he wins. Otherwise he loses).
- hands where the player was not at showdown (if all other players fold, he wins. Otherwise he loses).

Net with showdown can be a sign of the following patterns :

- the ability to grow pots when the player has the best hand
- the ability to detect bluffs
- a tendency to be drawing dead
- a tendency to keep pots too small

Net without showdown can be a sign of the following patterns :

- the ability to bluff a lot
- the ability to bluff in big pots
- a tendency to let bluff
- a tendency to play too tight

## Net Vs Hero

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Xeester computes the hero's stack portion that ends into the player's stack, and the player's stack portion that ends into the hero's stack.

**VsHero = amount invested by hero and won by player - amount invested by player and won by hero **

If vshero is positive, the player wins against the hero.

If vshero is negative, the player loses against the hero.

## ROI (Return On Investment)

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- Published on Sunday, 30 September 2012 14:08
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The ROI (Return On Investment) is a percentage that indicates the return on investment in tournaments.

The calculation is simple :

**ROI = Net gain *100 / (Buy-In + rebuys + addons)**

## Statistics index

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- Category: Glossary
- Published on Wednesday, 22 October 2014 09:28
- Written by Denis Rivas
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