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Intro to Probability & Games

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1 Intro to Probability & Games
Section 3.1

2 The Classic Deck of 52 Playing Cards

3 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

4 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.

5 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♥)

6 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 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 down to each player. Bet SHOWDOWN

8 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.

9 The Possible Outcomes when rolling two dice

10 A North American Roulette Table

11 A Craps Table

12 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.


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