Calculating Casino Games Expected Value
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Introduction
Expected value in slots. Wagers of $0.25 per spin can often yield the odd results of ten, twenty or thirty dollar wins. The basic idea behind low variance slots is that you build up your stack with small but frequent wins, over time. It all boils back down to slot variance again. The following menu is for tables that list the expected value for every initial hand in blackjack. The values in the table are 'composition dependent', meaning at every point the best decision was made according to the exact cards held in the players hand, as opposed to just the total points. Dec 23, 2018 The expected value of this bet in roulette is 1 (18/38) + (-1) (20/38) = -2/38, which is about 5.3 cents. Here the house has a slight edge (as with all casino games). Here the house has a slight edge (as with all casino games).
The following menu is for tables that list the expected value for every initial hand in blackjack. The values in the table are 'composition dependent', meaning at every point the best decision was made according to the exact cards held in the players hand, as opposed to just the total points.
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Dealer Peeks at Hole Card
Find The Expected Value Calculator
All numbers in the following tables assume the dealer already peeked for blackjack, with a ten or ace up, and did not have it.
No Hole Card — Player Loses Everything if Dealer Gets a Blackjack
All numbers in the following tables assume no dealer hole card. If the dealer gets a blackjack, the player will lose everything bet, including on doubles and spltis.
How much will you win? Do you see why it is called 'competitive algebra'?Learning to play LHE well also sometimes appears to contain elements of psychotherapy. For simplicity's sake, let's assume a rake of up to $5 (and perhaps a dollar more for jackpots and/or promotions). 
Other sources for similar expected values:
How To Compute Expected Value
- Blackjack Attack by Don Schlesinger
- Professional Blackjack by Stanford Wong.