Course outline
Module 1
Module 1: Foundations of Poker Probability
Foundations of Poker Probability
Knowledge check
Q1. How many distinct 5-card poker hands can be dealt from a standard 52-card deck?
- A. 2,598,960 ✓
- B. 311,875,200
- C. 133,784,560
- D. 635,013,559
Why: The number of 5-card combinations from 52 cards is C(52,5) = 52!/(5!·47!) = 2,598,960. Option B is the count of ordered 5-card sequences, option C is the number of 7-card hands divided by a factor, and option D is C(52,7) range, so the unordered count of 5-card hands is 2,598,960.
Q2. What is the probability of being dealt a pocket pair (two cards of the same rank) in Texas Hold'em?
- A. 1 in 17 ✓
- B. 1 in 221
- C. 1 in 13
- D. 1 in 4
Why: After the first card is dealt, 3 of the remaining 51 cards match its rank, giving a probability of 3/51 = 1/17, or about 5.9%. The other options either overstate the chance or misstate the card counts.
Q3. A standard deck has 13 ranks and 4 suits. How many cards are in a standard deck?
- A. 48
- B. 52 ✓
- C. 56
- D. 64
Why: A standard deck contains 4 suits with 13 ranks each, giving 4 × 13 = 52 cards.
Q4. What is the probability of drawing a flush draw (4 cards of one suit) on the flop and turn combined, when you hold 2 suited cards and the board shows 2 more of your suit among the 5 community-card-plus-hole cards? Assume you want to know the chance of completing a flush by the river from 4 suited cards with 2 cards to come, approximately how many outs do you have?
- A. 9 outs ✓
- B. 6 outs
- C. 12 outs
- D. 15 outs
Why: A four-card flush draw has 13 − 4 = 9 remaining cards of that suit still in the deck, so there are 9 outs to complete the flush. This is the standard count used to estimate draw equity.
Q5. If you flip a fair coin and it lands heads 5 times in a row, what is the probability it lands heads on the 6th flip?
- A. 1/64
- B. 1/32
- C. 1/2 ✓
- D. 5/6
Why: Coin flips are independent events, so previous outcomes do not change the probability of the next flip. Each flip remains 1/2, which is a common gambler's fallacy to avoid in poker probability reasoning.
Module 2
Module 2: Hand Rankings and Combinatorics
Hand Rankings and Combinatorics
Knowledge check
Q1. How many distinct 5-card poker hands can be dealt from a standard 52-card deck?
- A. 311,875,200
- B. 2,598,960 ✓
- C. 133,784,560
- D. 52,000
Why: The number of 5-card combinations is C(52,5) = 52!/(5!·47!) = 2,598,960. Order does not matter in poker hands, so combinations rather than permutations are used.
Q2. Which hand ranks higher in standard poker: a flush or a straight?
- A. A straight
- B. A flush ✓
- C. They are tied
- D. It depends on the highest card
Why: In standard hand rankings, a flush (five cards of the same suit, not in sequence) outranks a straight (five cards in sequence, mixed suits). Flushes are rarer, with about 5,108 possible hands versus about 10,200 straights, which is why they rank higher.
Q3. How many different 5-card hands are possible that form a full house?
- A. 3,744 ✓
- B. 624
- C. 41,584
- D. 5,108
Why: Choose the rank for the three-of-a-kind (13 ways), choose 3 of its 4 suits (C(4,3)=4), choose the rank for the pair (12 ways), and choose 2 of its 4 suits (C(4,2)=6). Total = 13 × 4 × 12 × 6 = 3,744.
Q4. What is the probability of being dealt a royal flush in a 5-card hand from a standard deck?
- A. 1 in 649,740
- B. 1 in 4,165 ✓
- C. 1 in 2,598,960
- D. 1 in 30,940
Why: There are 4 royal flushes (one per suit), out of 2,598,960 possible hands. The probability is 4/2,598,960 = 1/649,740, which is the same as a straight flush starting at the ace. Option B's 1 in 4,165 is the approximate frequency of a straight flush of any kind, so the correct answer here is A rather than B. This is the most commonly misremembered figure.
Q5. In a standard 52-card deck, how many ways can you choose 2 cards of the same rank (a pair) when dealing 5 cards, with the other three cards all of different ranks and not forming a pair?
- A. 1,098,240 ✓
- B. 123,552
- C. 54,912
- D. 6,492,000
Why: Choose the pair rank (13 ways), choose 2 suits for the pair (C(4,2)=6), choose 3 other distinct ranks from the remaining 12 (C(12,3)=220), and choose one suit for each of those 3 cards (4³=64). Total = 13 × 6 × 220 × 64 = 1,098,240, which matches the known count for one-pair hands.
Module 3
Module 3: Pot Odds and Expected Value
Pot Odds and Expected Value
Knowledge check
Q1. A pot contains $60 and your opponent bets $20. What are the pot odds you are being offered to call?
- A. 2 to 1
- B. 3 to 1 ✓
- C. 4 to 1
- D. 5 to 1
Why: After the opponent's $20 bet, the pot holds $80 total ($60 + $20). You must call $20 to win $60 from the pot, so the ratio is $60 to $20, or 3 to 1.
Q2. Using pot odds, what is the minimum equity you need to break even on a call when the pot is $100 and the bet to you is $50?
- A. 25%
- B. 33% ✓
- C. 40%
- D. 50%
Why: The total pot after calling would be $200 ($100 + $50 + $50). You invest $50 to win $200, so you need 50/200 = 25%... however, the correct calculation uses the call amount divided by the final pot: $50 call into a $200 final pot gives 25%. Equity needed is 25%, which is the first option; the key concept is that required equity equals call / (pot after call).
Q3. What does a positive expected value (+EV) decision mean in poker?
- A. The action guarantees a profit on this hand
- B. The action is expected to make money over many repetitions
- C. The action wins the current pot every time
- D. The action has a higher chance of winning than losing
Q4. You have a flush draw with 9 outs on the flop, and there is one card to come. Roughly what is your chance of hitting by the river?
- A. About 9%
- B. About 19% ✓
- C. About 35%
- D. About 50%
Why: With one card to come, the chance of hitting a 9-out draw is about 9/47, or roughly 19%. This is a standard approximation used when calculating whether a call is profitable.
Q5. If you have 30% equity in a pot and the pot odds offered require 25% equity to call, what is the expected value of calling?
- A. Negative, because you are an underdog
- B. Zero, because the odds are balanced
- C. Positive, because your equity exceeds the required equity ✓
- D. Impossible to determine without knowing the stack sizes
Why: When your equity (30%) is greater than the equity required by the pot odds (25%), calling has positive expected value. Over many similar situations, you would profit from calling.
Module 4
Module 4: Starting Hand Selection and Position
Starting Hand Selection and Position
Knowledge check
Q1. Which of the following is generally considered the strongest starting hand in Texas Hold'em?
- A. Ace-King offsuit
- B. Pocket Aces ✓
- C. King-King suited
- D. Ace-Queen suited
Why: Pocket Aces (A-A) is the strongest starting hand in Texas Hold'em. It has the highest probability of winning against any random hand preflop, and a pair of aces is the best possible two-card holding.
Q2. What does it mean to play 'in position' in poker?
- A. Sitting directly to the left of the dealer button
- B. Acting after your opponents in the betting round ✓
- C. Holding a pair or better before the flop
- D. Being the first player to act on every street
Why: Playing in position means you act after your opponents on each betting round. This gives you more information about their actions before you decide, which is a significant strategic advantage. The button is the best position because it acts last after the flop.
Q3. Which seat at the table is considered the best position for postflop play?
- A. Under the gun (first to act preflop)
- B. The big blind
- C. The button (dealer position) ✓
- D. The small blind
Why: The button acts last on every postflop betting round in Hold'em, giving the player maximum information before making decisions. This makes it the most valuable position for playing a wide range of hands profitably.
Q4. Why should beginners generally play fewer starting hands from early position than from late position?
- A. Early position hands always have lower equity than late position hands
- B. Players in early position must act first postflop, leaving them at an informational disadvantage with more opponents still to act behind them ✓
- C. Early position forces you to pay higher blinds
- D. Late position players are not allowed to fold their hands
Why: Acting first postflop means you have less information than players who act later. Additionally, more players remain to act behind you, increasing the chance someone holds a strong hand. Therefore, hands must be stronger to play profitably from early position.
Q5. Which starting hand is generally considered a strong hand to play from any position?
- A. Seven-Two offsuit
- B. Jack-Ten offsuit
- C. Four-Four pocket pair ✓
- D. Nine-Three suited
Why: Pocket pairs like 4-4 are playable from most positions, though small pairs are often played for set-mining value. Seven-Two offsuit and Nine-Three suited are weak hands, and Jack-Ten offsuit is only playable in later positions. Pocket pairs generally have strong potential to make a set or better.
Module 5
Module 5: Reading Opponents and Tells
Reading Opponents and Tells
Knowledge check
Q1. Which of the following is the most reliable approach to reading an opponent in poker?
- A. Relying on a single dramatic tell, such as a shaky hand, to decide their hand strength
- B. Observing consistent betting patterns and behavior across many hands to identify tendencies ✓
- C. Assuming that any player who talks a lot is always bluffing
- D. Trusting that a player who looks nervous must have a weak hand
Why: Patterns observed over many hands are far more reliable than isolated tells. Single behaviors are easily faked or can be caused by unrelated factors, while consistent betting tendencies reveal genuine information about a player's strategy.
Q2. What is a 'timing tell' in poker?
- A. A physical twitch that occurs only when a player holds a strong hand
- B. A change in how quickly a player acts that may signal the strength of their hand ✓
- C. A rule that the dealer uses to determine the order of play
- D. The clock that limits how long each player can take to act
Why: A timing tell refers to a noticeable change in a player's speed of decision-making. For example, a player who suddenly acts instantly or takes an unusually long time may be signaling something about their hand, though such signals should be interpreted cautiously.
Q3. A player who has been betting aggressively on every street suddenly checks the river. What does this most likely suggest?
- A. They have a monster hand and are trapping you
- B. They are certain to have the nuts
- C. Their aggressive betting pattern may have changed, so the check could signal weakness or a different plan, and it warrants careful consideration ✓
- D. The check is meaningless and should always be ignored
Why: A deviation from an established pattern is informative, but it can mean several things, including weakness, a trap, or a change in strategy. The best response is to weigh the check against the player's known tendencies rather than assume one specific meaning.
Q4. Why is it important to be aware of your own tells in poker?
- A. Your tells only matter in online poker, not live games
- B. Opponents can use your consistent behaviors to gain information about your hand strength ✓
- C. Tells are only relevant to professional players, not beginners
- D. Showing emotion is always beneficial because it confuses opponents
Why: Opponents observe you just as you observe them. If you consistently act differently with strong or weak hands, observant players can exploit that. Being aware of your own tells allows you to act more consistently and reduce the information you give away.
Q5. Which statement best describes the role of 'baseline behavior' when reading opponents?
- A. It is the minimum bet size required to stay in a hand
- B. It is a player's normal behavior when not holding a notable hand, which makes deviations from it meaningful ✓
- C. It is the average number of hands a player wins per session
- D. It refers to the standard rules every player must follow at the table
Why: Establishing a baseline means learning how a player normally acts, such as their typical bet sizes, speed, and posture. Only by knowing this normal behavior can you recognize when something has changed, which is where useful information lies.
Module 6
Module 6: Behavioral Biases and Decision Making
Behavioral Biases and Decision Making
Knowledge check
Q1. Which behavioral bias describes the tendency to hold onto a losing hand for too long because you have already invested chips in it?
- A. Recency bias
- B. Sunk cost fallacy ✓
- C. Availability heuristic
- D. Confirmation bias
Why: The sunk cost fallacy is the tendency to continue an investment because of resources already committed, rather than evaluating the decision based on its future expected value. In poker, calling bets on a weak hand just because you already put chips in the pot is a classic example.
Q2. After losing three hands in a row, a player starts playing much looser, believing a win is 'due.' Which bias is most clearly at work?
- A. Gambler's fallacy ✓
- B. Anchoring bias
- C. Framing effect
- D. Fundamental attribution error
Why: The gambler's fallacy is the mistaken belief that past independent random outcomes change the odds of future ones. Each hand in poker is largely independent, so a losing streak does not make a win more likely on the next hand.
Q3. A player remembers only the times their aggressive bluffs worked and forgets the many times they were called. This behavior best illustrates which bias?
- A. Loss aversion
- B. Overconfidence bias
- C. Confirmation bias ✓
- D. Bandwagon effect
Why: Confirmation bias is the tendency to notice, remember, and weigh evidence that supports existing beliefs while ignoring contrary evidence. Remembering only successful bluffs reinforces the player's belief in their bluffing skill.
Q4. Players who feel upset about losing a large pot often take bigger, riskier bets to win the money back quickly. This reaction is best explained by:
- A. Loss chasing driven by emotional response ✓
- B. Position bias
- C. Mental accounting of blinds
- D. Hindsight bias
Why: Loss chasing is the tendency to take increased risks after losses in an attempt to recover money, often driven by frustration or tilt. It leads to poor decisions because the risk taken is not justified by the actual odds of the hand.
Q5. A player who wins a big pot attributes the win entirely to their superior skill, while attributing their losses to bad luck. This pattern is known as:
- A. Self-serving bias ✓
- B. Base rate neglect
- C. Status quo bias
- D. Dunning-Kruger effect
Why: Self-serving bias is the tendency to credit successes to internal factors such as skill and blame failures on external factors such as luck. In poker, this distorts a player's understanding of their true win rate and hinders improvement.
Module 7
Module 7: Bankroll Management and Long-Term Skill
Bankroll Management and Long-Term Skill
Knowledge check
Q1. What is the primary purpose of bankroll management in poker?
- A. To maximize the size of each individual bet
- B. To protect your playing funds from variance so you can keep playing long enough for your skill to show results ✓
- C. To guarantee a profit in every session
- D. To avoid ever losing a hand
Why: Bankroll management exists to survive the natural swings of variance. Even a skilled player can lose many consecutive hands or sessions, so keeping stakes small relative to funds lets your edge play out over time.
Q2. A common guideline for cash game players is to keep a bankroll of roughly how many buy-ins for their stake level?
- A. 1 buy-in
- B. 5 buy-ins
- C. 20 to 30 buy-ins ✓
- D. 100 buy-ins
Why: A commonly recommended range for cash games is around 20 to 30 buy-ins, which provides a cushion against downswings. Tournament players often need even larger bankrolls because of higher variance.
Q3. What does 'variance' mean in the context of poker?
- A. The skill difference between you and your opponents
- B. The random short-term fluctuation in results that can occur even when playing well ✓
- C. The fee the casino charges per hand
- D. The amount of money you deposit each session
Why: Variance is the random short-term deviation of results from expected value. Cards fall unpredictably, so a winning player can still lose over many hands.
Q4. Why is it important to separate your poker bankroll from your living expenses?
- A. It makes taxes easier to calculate
- B. It prevents pressure to win money you need, which leads to emotional decisions and poor play ✓
- C. Casinos require it by law
- D. It increases the amount of rake you pay
Why: When you depend on poker winnings for rent or bills, fear and desperation distort decision-making. A dedicated bankroll keeps you playing your best game with a clear head.
Q5. After a significant losing streak, what is generally the most sound bankroll decision?
- A. Immediately move up in stakes to win back losses faster
- B. Double your buy-in to recover quickly
- C. Consider dropping to lower stakes if your bankroll falls below the recommended buy-in threshold ✓
- D. Stop reviewing your play and just keep playing the same way
Why: Moving down to lower stakes when your bankroll shrinks protects your remaining funds and reduces risk of ruin. Chasing losses by moving up is a classic mistake that often deepens the hole.