Johns Hopkins Poker Course - Lecture 2

Storyline / Context (Course + What’s Being Set Up)

This is Lecture 2 of the Johns Hopkins Poker Course. The instructor starts with cash-game and tournament setup (using PokerStars “Home Games”) and then transitions into core poker math:

• Expected value (EV)
• Pot odds
• Outs (including estimating outs when you don’t know the opponent’s hand)
• Bet sizing rules tied to draw equity (via pot-odds thresholds)
• Express odds vs. implied odds

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Gameplay / Platform Setup Highlights (PokerStars Switch)

The original “bluff Ave” website crashed due to too many users. The class moved to PokerStars Home Games, creating many accounts/clubs/tables to support approximately ~180–200 players simultaneously.

Joining requirements

• Students must join using instructions emailed by the instructor.

Cash-game “champion” trophy (self-reported + audited)

• A cash-game “champion” trophy is awarded based on self-reported results.
• An audit method uses PokerStars fake-chip timers.
• Players start with $35,000 fake chips plus a Free Chips add-on button for $15,000 more every 4 hours.

Eligibility rules (trophy contention)

• Play between 7–11 p.m. (tables can be open anytime).
• Cap add-ons at 5 total.
• If you add-on more than five times, you’re removed from trophy contention.
• On noon, Jan 23 (second-to-last day), students enter balances into a shared Google Doc (editable by the class).
• When entering later tournaments/satellites:
  • The entry cost is 20,000 chips
  • Submissions require a tournament subtraction/adjustment.

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Key Gameplay Concepts Taught (The “Math” Lecture Core)

1) Expected Value (EV): When to Call vs. Fold

EV framing:

• EV = (probability win × amount won) − (probability lose × amount lost)
• If EV is positive, you should continue (call/bet).
• If EV is negative, you should fold.

Worked examples include:

• A scenario requiring a specific out (e.g., a club on the river).
• Comparisons where the pot is small vs. large relative to your bet, showing how EV changes.

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2) Pot Odds (A Table-Friendly Rule)

Definitions:

• Pot odds = (total pot after the bet) / (call amount)
• Odds against (from outs) = (number of losing cards) / (number of winning cards)

Fundamental pot-odds rule:

• If odds against are worse than pot odds, call.
• If odds against are better than pot odds, fold.

The lecture emphasizes pot-odds intuition:

• Your chance to hit matters, but pot odds lets you compare it directly to the call price.

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3) Outs: Calculating and Using Them (Including Tricky Cases)

Normal outs example:

• If you need a club to win:
  • Consider remaining deck size and known cards.
  • Count how many clubs remain → those are your “winning cards.”

When opponent information is uncertain or partially known:

• Outs counting can change.
• The instructor flags situations where you must apply subtraction adjustments.

Exercise themes include:

• Opponent’s revealed hand changes outs precisely.
• Board + hand interaction can reduce naïve outs (e.g., flush “outs” may also improve the opponent to a higher flush or full house).

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4) Bet Sizing Rule of Thumb (Draw Equity + Forcing Mistakes)

Core guideline:

• Bets on later streets should usually be around half the current pot.

Math-driven draw lesson:

• Against a flush draw (about 9 outs), the instructor derives an approximate threshold:
  • If the opponent has a flush draw, betting more than ~1/3 pot makes calling mathematically bad.

Strategy connection:

• Deny correct odds and induce incorrect calls.

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5) Express Odds vs. Implied Odds

Express odds

• Use current pot odds, assuming you’ll go to showdown without considering future betting dynamics.

Implied odds

• Adjust for what you expect to win/lose if you hit, including future betting and how likely your opponent is to pay.

Key example logic:

• A draw might look like a fold under express odds, but implied odds can justify continuing if:
  • Hitting later would win much more, or
  • You expect strong payoff.

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6) Backdoor (Runner-Runner) Outs

Backdoor flush/straight examples are treated as small equity fractions:

• You must hit the correct card on the turn and again on the river.

Rule-of-thumb treatment:

• Full draws (e.g., flush draw ≈ ~9 outs) are counted normally.
• Backdoor draws contribute only a couple of outs’ worth.

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7) Estimating Outs When You Don’t Know the Opponent’s Hand

The lecture uses a Phil Hellmuth clip to discuss:

• Counterfeiting: a card that improves you may also improve the opponent into a better made hand.

Without perfect information:

• Players make scenario-based out estimates, for example:
  • Opponent likely has a big pair vs. a naked ace vs. a draw.

A referenced outs table (rule-of-thumb outputs):

• Gutshot: ~4 outs
• Two overcards to a pair: ~6 outs
• Open-ended straight draw: ~8 outs
• Flush draw: ~9 outs

General FLOP principle:

• “14 outs can be even money” → don’t fold if you reliably have that many.

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Gaming / Strategy Takeaways (Condensed Checklist)

• Ground decisions in:
  • EV: call when positive expectation, fold when negative.
  • Pot odds vs odds against (outs).
• Use outs properly:
  • Don’t double-count outs.
  • Account for board/opponent possibilities.
  • If you don’t know the opponent, use best-guess scenarios.
• Bet sizing:
  • Often aim around half pot to deny proper odds.
  • Against flush draws, betting > ~1/3 pot can make calling a mistake.
• Consider future payoff:
  • Use implied odds when stacks and future bets matter.
• Runner-runner/backdoors:
  • Give them only small credit compared to direct draws.

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Gamers / Sources Featured

• Featured poker personality (video clip): Phil Hellmuth
• Referenced 2003 WSOP Main Event players:
  • Chris Moneymaker
  • Sammy Farha
  • Dan Harrington
  • Phil Ivey
• Other poker references mentioned:
  • Richard “Sammy Farha” (referenced in the context of aggressive play)
  • Johns Hopkins Poker Course (course source/context)

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