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).
• Ace is usually considered high.
• J, Q, K are the face cards
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?
•
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.
1. Royal Straight Flush (A♠, K♠, Q♠, J♠, 10♠)
2. Straight Flush (8♦, 7♦, 6♦, 5♦, 4♦)
3. Four of a kind (3♦, 3♠, 3♣, 3♥, 8♣)
4. Full House (Q♦, Q♠, Q♣, 5♣, 5♥)
5. Flush (K♣, 10♣, 7♣, 3♣, 2♣)
6. Straight(Q♠, J♣, 10♦, 9♦, 8♣)
7. Three of a kind (Q♦, Q♠, Q♣, 4♦, 10♦)
8. Two pairs (K♦, K♠, 8♣, 8♦, A♥)
9. One pair (7♥, 7♣, A♣, Q♥, 4♥)
10. No pair (or Pai Gow or garbage) (5♣, J♦, A♣, 3♠, 7♥)
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
• 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
• 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.
The Possible Outcomes when
rolling two dice
A North American Roulette Table
A Craps Table
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.