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probabilita-poker-polacco
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fixed some stuff

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Fran314 2 years ago
parent accd6fe424
commit 7babdd526c
3 changed files with 254 additions and 173 deletions
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296
README.md
Unescape Escape View File

@ -3,152 +3,152 @@
Results Results
``` ```
========================= ===========================
cards on table: 5 cards on table: 5
------------------------- ---------------------------
high card 34.14% high card 34.1300%
one pair 4.16% one pair 4.1423%
three of a kind 0.16% three of a kind 0.1862%
two pair 0.06% two pair 0.0619%
flush 0.04% straight 0.0490%
straight 0.04% flush 0.0425%
full house 0.01% full house 0.0150%
four of a kind 0.00% four of a kind 0.0031%
straight flush 0.00% straight flush 0.0020%
========================= ===========================
========================= ===========================
cards on table: 10 cards on table: 10
------------------------- ---------------------------
high card 58.63% high card 58.6462%
one pair 16.27% one pair 16.2438%
flush 5.56% flush 5.6900%
straight 4.18% straight 4.1470%
two pair 1.97% two pair 1.9659%
three of a kind 1.95% three of a kind 1.9515%
full house 0.33% full house 0.3208%
four of a kind 0.08% four of a kind 0.0815%
straight flush 0.04% straight flush 0.0430%
========================= ===========================
========================= ===========================
cards on table: 15 cards on table: 15
------------------------- ---------------------------
high card 75.52% high card 75.6608%
one pair 32.62% one pair 32.5154%
flush 29.23% flush 29.1625%
straight 20.51% straight 21.1830%
two pair 9.33% two pair 9.2677%
three of a kind 6.74% three of a kind 6.7485%
full house 2.11% full house 2.0982%
four of a kind 0.50% straight flush 0.4850%
straight flush 0.43% four of a kind 0.4600%
========================= ===========================
========================= ===========================
cards on table: 20 cards on table: 20
------------------------- ---------------------------
high card 86.81% high card 86.7323%
flush 62.61% flush 62.1725%
one pair 50.10% one pair 50.0654%
straight 46.66% straight 46.7040%
two pair 23.60% two pair 23.5749%
three of a kind 15.17% three of a kind 15.2077%
full house 7.34% full house 7.3528%
straight flush 2.32% straight flush 2.3450%
four of a kind 1.76% four of a kind 1.8408%
========================= ===========================
========================= ===========================
cards on table: 25 cards on table: 25
------------------------- ---------------------------
high card 93.46% high card 93.5500%
flush 86.91% flush 86.8575%
straight 70.18% straight 70.4850%
one pair 66.46% one pair 66.5346%
two pair 42.93% two pair 43.0365%
three of a kind 27.68% three of a kind 27.5062%
full house 18.05% full house 17.9522%
straight flush 8.08% straight flush 8.1390%
four of a kind 4.71% four of a kind 4.7169%
========================= ===========================
========================= ===========================
cards on table: 30 cards on table: 30
------------------------- ---------------------------
flush 97.28% flush 97.4700%
high card 97.18% high card 97.3762%
straight 86.41% straight 87.4620%
one pair 80.28% one pair 80.1569%
two pair 63.73% two pair 63.5406%
three of a kind 43.11% three of a kind 43.1085%
full house 34.30% full house 34.2401%
straight flush 20.66% straight flush 20.9020%
four of a kind 10.20% four of a kind 10.1277%
========================= ===========================
========================= ===========================
cards on table: 35 cards on table: 35
------------------------- ---------------------------
flush 99.81% flush 99.7875%
high card 99.17% high card 99.0900%
straight 95.85% straight 95.5010%
one pair 90.40% one pair 90.3608%
two pair 81.44% two pair 81.3709%
three of a kind 60.41% three of a kind 60.4369%
full house 54.46% full house 54.4532%
straight flush 42.98% straight flush 42.8760%
four of a kind 19.26% four of a kind 19.3431%
========================= ===========================
========================= ===========================
cards on table: 40 cards on table: 40
------------------------- ---------------------------
flush 99.99% flush 99.9950%
high card 99.82% high card 99.8092%
straight 99.10% straight 98.9990%
one pair 96.67% one pair 96.5685%
two pair 93.39% two pair 93.1968%
three of a kind 77.70% three of a kind 77.5346%
full house 75.08% full house 74.8518%
straight flush 72.44% straight flush 72.4400%
four of a kind 33.51% four of a kind 33.7800%
========================= ===========================
========================= ===========================
cards on table: 45 cards on table: 45
------------------------- ---------------------------
flush 100.00% flush 100.0000%
high card 99.99% high card 99.9869%
straight 99.95% straight 99.9430%
one pair 99.40% one pair 99.3954%
two pair 98.79% two pair 98.7910%
straight flush 95.18% straight flush 95.2640%
three of a kind 91.70% three of a kind 91.7577%
full house 91.16% full house 91.2159%
four of a kind 55.07% four of a kind 55.0138%
========================= ===========================
========================= ===========================
cards on table: 50 cards on table: 50
------------------------- ---------------------------
two pair 100.00% high card 100.0000%
high card 100.00% one pair 100.0000%
one pair 100.00% two pair 100.0000%
straight 100.00% straight 100.0000%
straight flush 100.00% flush 100.0000%
flush 100.00% straight flush 100.0000%
three of a kind 99.55% three of a kind 99.5700%
full house 99.55% full house 99.5700%
four of a kind 85.07% four of a kind 85.0454%
========================= ===========================
``` ```

131
main.py
Unescape Escape View File

@ -90,50 +90,133 @@ def find_hands(table):
"straight flush": find_straight_flush(table), "straight flush": find_straight_flush(table),
} }
def sanity_check(table, result):
def find_hand_averages(result): for hand_type in result["one pair"]:
output = {} if result["one pair"][hand_type] and not result["high card"][hand_type]:
for hand in result: print(f"Invalid result at one pair of {hand_type} but not high card")
output[hand] = 0 print(table)
for hand_type in result[hand]: print(result)
output[hand] += result[hand][hand_type] / len(result[hand])
return output for hand_type in result["two pair"]:
[rank1, rank2] = hand_type.split("+")
if result["two pair"][hand_type] and not (result["one pair"][rank1] and result["one pair"][rank2]):
print(f"Invalid result at two pair of {hand_type} but not respective one pairs")
print(table)
print(result)
for hand_type in result["three of a kind"]:
if result["three of a kind"][hand_type] and not result["one pair"][hand_type]:
print(f"Invalid result at three of a kind of {hand_type} but not one pair")
print(table)
print(result)
for hand_type in result["straight"]:
i = LOOPED_RANKS.index(hand_type)
if result["straight"][hand_type] and not (result["high card"][LOOPED_RANKS[i-4]] and
result["high card"][LOOPED_RANKS[i-3]] and
result["high card"][LOOPED_RANKS[i-2]] and
result["high card"][LOOPED_RANKS[i-1]] and
result["high card"][LOOPED_RANKS[i]]):
print(f"Invalid result at straight of {hand_type} but not high cards")
print(table)
print(result)
for hand_type in result["full house"]:
[rank1, rank2] = hand_type.split(" over ")
if result["full house"][hand_type] and not (result["three of a kind"][rank1] and result["one pair"][rank2]):
print(f"Invalid result at full house of {hand_type} but not respective three of a kind and one pair")
print(table)
print(result)
for hand_type in result["four of a kind"]:
if result["four of a kind"][hand_type] and not result["three of a kind"][hand_type]:
print(f"Invalid result at four of a kind of {hand_type} but not three of a kind")
print(table)
print(result)
for hand_type in result["straight flush"]:
if result["straight flush"][hand_type] and not result["straight"][hand_type]:
print(f"Invalid result at straight flush of {hand_type} but not straight")
print(table)
print(result)
# def find_hand_averages(result):
# output = {}
# for hand in result:
# output[hand] = 0
# for hand_type in result[hand]:
# output[hand] += result[hand][hand_type]
# output[hand] /= len(result[hand])
# return output
def find_probabilities(size): def find_probabilities(size):
results = [find_hands(sample(DECK, size)) for _ in range(SAMPLE_SIZE)] results = []
output = {} for _ in range(SAMPLE_SIZE):
table = sample(DECK, size)
result = find_hands(table)
sanity_check(table, result)
results += [result]
# The idea was to find the probability of each hand this way:
# for each hand
# for each hand_type of this hand
# find the probability of this hand_type with occurrences / SAMPLE_SIZE
# find the probability of the hand by averaging the probability of each hand_type, that is
# sum everything and divide by the number of types (= len(results[0][hand]))
# We don't use this approach becuase finding the intermediate probabilities for each hand_type introduces
# division, which comes with rounding errors.
# To avoid this we postpone division as much as possible, working with integers as much as possible
probabilities = {}
for hand in results[0]: for hand in results[0]:
output[hand] = {} occurrences = 0
for hand_type in results[0][hand]: for hand_type in results[0][hand]:
output[hand][hand_type] = 0 occurrences_per_type = 0
for i in range(SAMPLE_SIZE): for i in range(SAMPLE_SIZE):
if results[i][hand][hand_type]: if results[i][hand][hand_type]:
output[hand][hand_type] += 1/SAMPLE_SIZE occurrences_per_type += 1
return find_hand_averages(output) # probability_per_type should be occurrences_per_type / len(results[0][hand]) but
# it's better to postpone divisions as much as possible to prevent rounding errors
occurrences += occurrences_per_type
probabilities[hand] = occurrences / (SAMPLE_SIZE * len(results[0][hand]))
return probabilities
# output = {}
# for hand in results[0]:
# output[hand] = {}
# for hand_type in results[0][hand]:
# output[hand][hand_type] = 0
# for i in range(SAMPLE_SIZE):
# if results[i][hand][hand_type]:
# output[hand][hand_type] += 1
# output[hand][hand_type] /= SAMPLE_SIZE
# return find_hand_averages(output)
groups = tuple(range(5, 52, 5)) groups = tuple(range(5, 52, 5))
global_results = { global_results = {
"high card": (), "high card": (),
"flush": (),
"one pair": (), "one pair": (),
"straight": (),
"two pair": (), "two pair": (),
"three of a kind": (), "three of a kind": (),
"straight": (),
"flush": (),
"full house": (), "full house": (),
"four of a kind": (),
"straight flush": (), "straight flush": (),
"four of a kind": (),
} }
for size in groups: for size in groups:
print("=========================")
print("cards on table:", str(size).rjust(8))
print("-------------------------")
results = find_probabilities(size) results = find_probabilities(size)
for hand in global_results: for hand in global_results:
global_results[hand] += (results[hand],) global_results[hand] += (results[hand],)
results = sorted(results.items(), key=lambda hand: -hand[1]) results = sorted(results.items(), key=lambda hand: -hand[1])
print("===========================")
print(" cards on table:", str(size).rjust(9))
print("---------------------------")
for (hand, p) in results: for (hand, p) in results:
str_p = f"{p:.2%}" str_p = f"{p:.4%}"
print(" " + hand.ljust(15) + str_p.rjust(8)) # str_p = f"{p}"
print("=========================") print(" " + hand.ljust(15) + str_p.rjust(10))
print("===========================")
print("") print("")
print("") print("")
@ -157,5 +240,3 @@ ax.legend(loc='upper left', ncols=3)
ax.set_ylim(0, 1.05) ax.set_ylim(0, 1.05)
plt.show() plt.show()

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