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# %load 18.05
# The following are the possible hands in poker, in increasing order of 
# value (and decreasing order of probability):
# pair: two cards with the same rank
# two pair: two pairs of cards with the same rank
# three of a kind: three cards with the same rank
# straight: five cards with ranks in sequence (aces can be high or low, so
# Ace-2-3-4-5 is a straight and so is 10-Jack-Queen-King-Ace, but 
# Queen-King-Ace-2-3 is not.)
# flush: five cards with the same suit
# full house: three cards with one rank, two cards with another
# four of a kind: four cards with the same rank
# straight flush: five cards in sequence (as defined above) and with the same
# suit
# The goal of these exercises is to estimate the probability of drawing these
# various hands.
# 1. Download the following files from thinkpython.com/code:
# Card.py : A complete version of the Card, Deck and Hand classes in this 
# chapter. PokerHand.py : An incomplete implementation of a class that 
# represents a poker hand, and some code that tests it.
# 2. If you run PokerHand.py, it deals seven 7-card poker hands and checks to
# see if any of them contains a flush. Read this code carefully before you go
# on.
# 3. Add methods to PokerHand.py named has_pair, has_twopair, etc. that
# return True or False according to whether or not the hand meets the relevant
# criteria. Your code should work correctly for "hands" that contain any
# number of cards (although 5 and 7 are the most common sizes).
# 4. Write a method named classify that figures out the highest-value
# classification for a hand and sets the label attribute accordingly. For
# example, a 7-card hand might contain a flush and a pair; it should be
# labeled "flush".
# 5. When you are convinced that your classification methods are working, 
# the next step is to estimate the probabilities of the various hands. Write
# a function in PokerHand.py that shuffles a deck of cards, divides it into 
# hands, classifies the hands, and counts the number of times various
# classifications appear.
# 6. Print a table of the classifications and their probabilities. Run your
# program with larger and larger numbers of hands until the output values
# converge to a reasonable degree of accuracy. Compare your results to the
# values at wikipedia.org/wiki/Hand_rankings.

# Current Status: Incomplete