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Intro to Probability & Games Section 3.1 The Classic Deck of 52 Playing Cards The Classic Deck of 52 Playing Cards 4 Suits: Spades ♠, Hearts ♥ , Clubs ♣, Diamonds ♦ Each suit is made up of 13 cards or ranks. A (ace), 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king).

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the classic deck of 52 playing cards3
The Classic Deck of 52 Playing Cards
  • 4 Suits: Spades ♠, Hearts ♥, Clubs ♣, Diamonds ♦
  • Each suit is made up of 13 cards or ranks.
  • A (ace), 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king).
  • Ace is usually considered high.
  • J, Q, K are the face cards
poker
POKER
  • Poker is a card game played with the standard 52 card deck.
  • There are many variations of Poker.
  • Games include, 5 card draw poker, 7 card stud poker, Texas Hold’ em.
what are the good hands
What are the good hands?
  • I now rank the hands from most dominant to least with examples. One of our projects will be to compute the odds & probabilities of these hands.
  • Royal Straight Flush (A♠, K♠, Q♠, J♠, 10♠)
  • Straight Flush (8♦, 7♦, 6♦, 5♦, 4♦)
  • Four of a kind (3♦, 3♠, 3♣, 3♥, 8♣)
  • Full House (Q♦, Q♠, Q♣, 5♣, 5♥)
  • Flush (K♣, 10♣, 7♣, 3♣, 2♣)
  • Straight(Q♠, J♣, 10♦, 9♦, 8♣)
  • Three of a kind (Q♦, Q♠, Q♣, 4♦, 10♦)
  • Two pairs (K♦, K♠, 8♣, 8♦, A♥)
  • One pair (7♥, 7♣, A♣, Q♥, 4♥)
  • No pair (or Pai Gow or garbage) (5♣, J♦, A♣, 3♠, 7♥)
5 card draw
5 card draw
  • Usually play with 7
  • Win with high hand
  • Deal 5 cards down to each player. Bet.
  • One at a time, players exchange up to 3 cards in their hands. Bet.
  • Showdown
7 card stud
7 card stud
  • Usually seven players
  • Win with high hand
  • Deal 2 cards down and 1 card up to each player. Bet.
  • Deal 1 card up to each player. Bet
  • Deal 1 card up to each player. Bet
  • Deal 1 card up to each player. Bet
  • Deal 1 card down to each player. Bet
  • SHOWDOWN
texas hold em
Texas Hold’em
  • Win with high hand
  • Pre-Flop: Player 1 is the small blind, player 2 is the big blind. (These are bets made with no knowledge of cards.)
  • Pre-Flop: Each player is dealt 2 down cards. Bet. (Start with player 3)
  • Flop: 3 cards are dealt up in the center of the table (all players have these cards). Bet.
  • Turn: One card is dealt up in the center. Bet.
  • River: One card is dealt up in the center. Bet.
  • Showdown.
what s probability got to do with it
What’s probability got to do with it?
  • Probability is the study of the likelihood of an event.
  • People who play cards or table games need to know the probability of an event in order to make informed decisions.