Blackjack Expected Return Calculator
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We look at the game of Blackjack and calculate the probability of getting certain hands. In addition we demonstrate how to calculate the expected value of a game that involves betting. The expected value of that $1 bet, for the customer, is about 84 cents. The expected value of each of those bets–for you–is $1.16. That’s how the casino does the math on all its casino games, and the casino makes sure that the house edge is always in their favor. With blackjack, calculating this house edge is harder.
Both risk of ruin tables were originally published on the Wizard of Odds blackjack risk of ruin article. The 3 variables involved with risk of ruin in Blackjack. Whenever you work out risk of ruin in Blackjack, there are 3 variables you need to consider. Blackjack Outcome Calculator Here, you can estimate the probability of winning or losing a specified amount of money given betsize, number of hands and advantage percentage. To find your advantage at Basic Strategy, link to the Blackjack Advantage Calculator. To use this calculator, fill in the four boxes below and press the Calculate button.
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Introduction
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.
Dealer Peeks at Hole Card
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.
Other sources for similar expected values:
- Blackjack Attack by Don Schlesinger
- Professional Blackjack by Stanford Wong.
Written by: Michael Shackleford
In Probability, expected return is the measure of the average expected probability of various rates in a given set. The process could be repeated an infinite number of times. The term is also referred to as expected gain or probability rate of return. Here is an online probability calculator which helps you to calculate the percentage of expected rates of return.
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Probability Rate of Return Calculator
In Probability, expected return is the measure of the average expected probability of various rates in a given set. The process could be repeated an infinite number of times. The term is also referred to as expected gain or probability rate of return. Here is an online probability calculator which helps you to calculate the percentage of expected rates of return.
Formula:
Expected Rate of Return = Σ ( i=1 to n ) Ri PiWhere, Ri = Return in Scenario i Pi = Probability for the Return in Scenario i i = Number of Scenariosn= Total number of Probability and Return
Example
For Probabilities,
P1 = 30 R1= 10
P2 = 45 R2 = 20
P3 = 25 R3 = 30
Expected Gain = (30 x 10) + (45 x 20) + (25 x 30)= 300 + 900 + 750=1950
Expressing in %, probability rate of return (expected return) is1950 / 100 = 19.5 %
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