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"Expected Value" (EV) is a crucial mathematical concept in poker. It represents the expected profit or loss resulting from a specific decision in a hand. Players can use EV to make informed choices and maximize their long-term profitability. Here's how it works: Calculating Expected Value: To calculate EV, you need to consider the potential outcomes of a decision and their associated probabilities. The formula for EV is as follows: EV = (Outcome 1 * Probability 1) + (Outcome 2 * Probability 2) + ... + (Outcome n * Probability n) For example, in a simple scenario where you're deciding whether to call a bet, you'd calculate the EV of calling based on the possible outcomes: If you call and win, you gain a certain amount with a specific probability. If you call and lose, you lose the amount you called with a specific probability. You'd plug these values into the formula and calculate the EV to determine whether calling is a profitable decision. Using EV in Poker: Comparing Decisions: EV allows you to compare different choices within a hand. You should always choose the option with the highest positive EV, as this maximizes your expected profit. Betting and Calling: When deciding whether to bet or call, calculate the EV for both options. Betting might have to continue
a positive EV if it leads to a higher probability of winning the pot, while calling might be more profitable if you expect your hand to win often when you reach a showdown.
Bluffing: EV can be used to assess the profitability of a bluff. If you bluff with a certain frequency and bet a specific amount, you can calculate the EV of your bluff. If the expected value of the bluff is positive, it may be a profitable strategy.
Pot Odds: When calculating pot odds, you compare the current size of the pot to the cost of calling a bet. If the pot odds are better than the odds of completing your drawing hand, calling has a positive EV.
Fold Equity: EV can also be applied to fold equity, which is the additional value you gain from the likelihood of making your opponents fold their hands. If you can calculate that your opponent will fold a certain percentage of the time, you can determine the EV of a bluff or a semi-bluff.
Expected value is a versatile tool that helps poker players make optimal decisions based on probabilities and potential outcomes. It's particularly useful in situations where you have multiple options, such as calling, folding, or raising, and you want to assess which choice will yield the highest expected profit in the long run. By consistently making decisions with positive EV, skilled poker players can maximize their profitability over time.
a positive EV if it leads to a higher probability of winning the pot, while calling might be more profitable if you expect your hand to win often when you reach a showdown.
Bluffing: EV can be used to assess the profitability of a bluff. If you bluff with a certain frequency and bet a specific amount, you can calculate the EV of your bluff. If the expected value of the bluff is positive, it may be a profitable strategy.
Pot Odds: When calculating pot odds, you compare the current size of the pot to the cost of calling a bet. If the pot odds are better than the odds of completing your drawing hand, calling has a positive EV.
Fold Equity: EV can also be applied to fold equity, which is the additional value you gain from the likelihood of making your opponents fold their hands. If you can calculate that your opponent will fold a certain percentage of the time, you can determine the EV of a bluff or a semi-bluff.
Expected value is a versatile tool that helps poker players make optimal decisions based on probabilities and potential outcomes. It's particularly useful in situations where you have multiple options, such as calling, folding, or raising, and you want to assess which choice will yield the highest expected profit in the long run. By consistently making decisions with positive EV, skilled poker players can maximize their profitability over time.