Intro to Probability

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 up to each player. Bet
• Deal 1 card up to each player. Bet
• Deal 1 card down to each player. Bet
• SHOWDOWN

8
Texas Holdem

• 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
Whats 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.