Materials: Each student should have a standard deck (52 cards) of playing cards.

Instructions: Let's start by describing the deck. What can we say about it?

Four suits. Thirteen cards per suit. Two categories - number and face cards. Order.

Deck = Suit Suit Suit Suit
Suit = 2 3 4 5 6 7 8 9 10 J Q K A

What are some things you can do with a deck of cards?

Play games.
Magic tricks.
House of cards.

What is a "hand"?
Hand = card card card card card

Probability 0.0

If we shuffle the deck and select one card, what are the chances that it is the 7 of clubs?
An ace?
A heart?

If we add up the chance that it's a heart, the chance that it's a club, the chance that it's a diamond, the chance that it's a spade, what should we come up with? Why?

Logic 0.0

Consider these two statements:

  • we selected one card at random and it was a number card
  • we selected one card at random and it was a face card

What can you say about these two statements?
Can anything else have happened?

Counting 0.0

Select from the deck the 2,3,4, and 5 cards from one suit.

How many different "hands" of two cards can be dealt from this collection?

Skills and Concepts

basic probability
joint probability
mutually exclusive and exhaustive
pick m from n
event tree
permutations
simple logic
introduction of lexical specification
finite state machine
states
ordering