{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise: Analyzing Poker Hand Outcomes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's explore a question: how can we best visualize the likely outcomes of a poker hand given that we haven't been dealt all the cards yet? In this case, we start with a set of cards and then deal out the remaining 7 cards to complete the hand and determine the highest rank of each hand that results. Let's create a function that plots the counts of each set of resulting hands by rank so that we can compare each partial hand's strategic value. This could be very useful in terms of determining how likely a winning hand was from a particular staring point.\n", "\n", "Let's familiarize ourselves with the data. Our virtual deck of cards consists of cards with 13 possible values: 2,3,4,5,6,7,8,9,0,J,Q,K,A. Here 0 represents the value 10, and Jack, Queen, King, and Ace are represented as J,Q,K, and A, respectively. The four possible suits are represented as s (spades), c (clubs), d, diamonds, and h (hearts). The number of starting cards in the hands could vary (we may have been dealt 1 card, 2 cards, 3 cards, etc.), but the full hand consists of 7 cards. After being dealt, each hand is evaluated for the highest hand rank it contains ranging from the lowest (high card) to the highest (straight flush).\n", "\n", "**(1)** Begin by loading and viewing the raw data which you can find in the file \"poker_results.csv\". You'll notice that this is essentially the content of a histogram of sorts where instead of bins with ranges of values, we have hand ranks." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Cardshigh cardpairtwo pairthree of a kindstraightflushfull housefour of a kindstraight flush
0As Ks Qs Js861212594616611034115582624
18s 8c 7c 6s0345138567671117214562285
2As Jh 0d 8c232146541578238114106710
3As Ah Ks Kh0074400321992274541
4As Kh Qs Jc2053375714792422311877100
58s 8c 7c 6c03079352973110199855512680
68s 8c 8d0005854747231918090
72h 7c 3d2339471820284122946913091
8Ah178144102390503345311241163
\n", "
" ], "text/plain": [ " Cards high card pair two pair three of a kind straight flush \\\n", "0 As Ks Qs Js 861 2125 946 166 1103 4115 \n", "1 8s 8c 7c 6s 0 3451 3856 767 1117 214 \n", "2 As Jh 0d 8c 2321 4654 1578 238 1141 0 \n", "3 As Ah Ks Kh 0 0 7440 0 32 199 \n", "4 As Kh Qs Jc 2053 3757 1479 242 2311 87 \n", "5 8s 8c 7c 6c 0 3079 3529 731 1019 985 \n", "6 8s 8c 8d 0 0 0 5854 74 72 \n", "7 2h 7c 3d 2339 4718 2028 412 294 69 \n", "8 Ah 1781 4410 2390 503 345 311 \n", "\n", " full house four of a kind straight flush \n", "0 58 2 624 \n", "1 562 28 5 \n", "2 67 1 0 \n", "3 2274 54 1 \n", "4 71 0 0 \n", "5 551 26 80 \n", "6 3191 809 0 \n", "7 130 9 1 \n", "8 241 16 3 " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import numpy as np\n", "\n", "poker = pd.read_csv(\"data/poker_results.csv\") # We'll only use the first 9 entries for this exercise\n", "poker" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**(2)** Next, create a function to plot a single row of the above dataset as a histogram. This plot should take as inputs the Axes object on which to plot the histogram, the counts for the highest rank for each starting hand (which is provided in the data), and the names of each of the hands, `hist_rank(ax, counts, hand_names)`\n", "\n", "You may need to rotate your x tick labels to be able to read them clearly. This can be done using the `ax.set_xticklabels(ax.get_xticklabels(), rotation=90)` construction assuming that `ax` represents the Axes object you're plotting on." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def hist_rank(ax, counts, labels):\n", " x = np.arange(0, len(counts)) # This creates dummy x values to plot alongside the counts so the values are evenly spaced across the x axis\n", " ax.bar(x, counts, tick_label=labels)\n", " ax.set_xticklabels(ax.get_xticklabels(), rotation=90) # This rotates the labels vertically so they can be read more easily" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**(3)** Test out your function on our data. To do this, choose the 'Ah' (ace of hearts) partial starting hand and plot the histogram of the highest ranks resulting from that ace of hearts with the function you just created. Make sure to label your x- and y-axis labels and set the title of your plot to be the partial starting hand ('Ah')." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Ah')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 541, "width": 580 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "starting_hand = \"Ah\"\n", "count_series = poker.loc[poker[\"Cards\"] == starting_hand] # Extract the row corresponding to the starting hand\n", "count_series = count_series.drop(columns=[\"Cards\"]) # Remove the \"Cards\" column since it's not relevant\n", "counts = count_series.values[0] # Extract the count array\n", "labels = count_series.columns # Extract the labels as an array\n", "\n", "hist_rank(ax, counts, labels)\n", "ax.set_xlabel(\"Hand Rank\")\n", "ax.set_ylabel(\"Count\")\n", "ax.set_title(starting_hand)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**(4)** Take a look at the resulting distribution of outcomes. Verify that your plot is working correctly given the raw data.\n", "\n", "**(5)** Looking at the data, how likely is a high ranking hand (three of a kind or better) starting with the ace of hearts?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**(6)** Now, let's compare all of the starting hands that we have to see how they shake out to see if there are any trends that can be seen across the different sets of starting cards. To do this, construct a 3-by-3 subplot matrix of histograms, one for each set of starting cards, titling each with the starting cards themselves. Note: if your plots overlap one another adjust the `figsize` property of `subplots`; we recommend 10 inches wide by 8 inches tall. And if you're finding there's overlap between the figures, try `fig.tight_layout()`, which is generally a good idea to use at the end of most subplot plots since it makes the most of available space without overlapping plot components." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 788, "width": 839 } }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3, 3, figsize=(10, 8) )\n", "\n", "for i, ax in enumerate(axs.flatten()):\n", " result_series = poker.iloc[i]\n", " starting_hand = result_series[\"Cards\"]\n", " count_series = result_series.drop(index=[\"Cards\"])\n", " counts = count_series.values\n", " labels = count_series.index\n", "\n", " hist_rank(ax, counts, labels)\n", " ax.set_title(starting_hand)\n", "\n", "# Add axis labels to ONLY the left-most axes for the y-label and bottom-most for the x-label to keep the plot easier to read\n", "for ax in axs[:, 1]:\n", " ax.set_ylabel(\"Count\")\n", "for ax in axs[-1, :]:\n", " ax.set_xlabel(\"Hand Rank\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 788, "width": 839 } }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3, 3, figsize=(10, 8), sharex=True, sharey=True) # The sharex and sharey keyword parameters force the axes to have the same extent\n", "\n", "for i, ax in enumerate(axs.flatten()):\n", " result_series = poker.iloc[i]\n", " starting_hand = result_series[\"Cards\"]\n", " count_series = result_series.drop(index=[\"Cards\"])\n", " counts = count_series.values\n", " labels = count_series.index\n", "\n", " hist_rank(ax, counts, labels)\n", " ax.set_title(starting_hand)\n", "\n", "fig.subplots_adjust(hspace=0, wspace=0) # Removes the space between the subplots\n", "\n", "# Add axis labels to ONLY the left-most axes for the y-label and bottom-most for the x-label to keep the plot easier to read\n", "for ax in axs[:, 1]:\n", " ax.set_ylabel(\"Count\")\n", "for ax in axs[-1, :]:\n", " ax.set_xlabel(\"Hand Rank\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**(7)** Now, lets make some tweaks to this plot to make it more professional and easier to read. The current plot, with so many redundant x tick labels is very hard to read, but we can fix this:\n", "\n", "1. Set the x and y axis limits to be the same for all subplots (while there are a couple of ways of doing this, one way is to use the sharex and sharey keyword parameters for `subplots`)\n", "2. Remove the space between subplots to waste less space. You can do this with the `ax.subplots_adjust()` method.\n", "3. Add axis labels to ONLY the left-most axes for the y-label and bottom-most for the x-label to keep the plot easier to read\n", "4. The titles probably overlap with other content. Instead of using a title, add text to the upper right of the plot with the hand.\n", "\n", "The type of plot above is called a small multiple, where the axes are the same for all the plots allowing for easier direct comparison across each of the plots and are very helpful for visualizing data with shared properties." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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UFpKlKGvZl7KUytH5/dHvvL8dnTon6pzedb/fbt1uV+/rdT2v5zn5fM4153G9Xq+lvl91lS+RuPBMPQCK2znnnJMRI0YkSQYOHJgLL7wwW221VerXr59mzZpljz32yLBhw/Kzn/0sZWVl+cMf/pCJEydWqLHbbrvliiuuSKNGjTJnzpzcdtttOfLII7PFFlukVatWOe644/L888/Xao+19TOs/MWgJNluu+0Kz0qV+fTTTwuh0fLqc+EXcNq0aZMtt9xysWMXfplp7NixheOFl0xe0Z4JhFsAUMQ+//zzwjI1M2fOTIMGDVJSUrLIn4YNGxaWuVl4ivzCtt5667zwwgu5++67c+SRR2azzTZLknz11Vd56KGH8qtf/Srbb799Pvzww+/U68K/HDvooIMq7bOkpCRXX3114b533HHHd7rX8tKuXbs8+uijhb2xLrzwwvzf//1flddtuOGGefrpp/Pf//43v/vd7/KDH/wgJSUl+frrrzNixIgcf/zx2Wabbb7zUkvfdtppp+XPf/5zkgVvoP/iF7/4Xv/jAoCVQzE9N3xb//79c9RRRyVZsA/XbrvtlmnTpi2T2t/XNttsUwjHyt8UXxrPPvts4fjbvwTbaaedMnXq1Nxyyy355S9/WdjH4vPPP89dd92VffbZJ7/4xS8K+3UsD8vjTXIAal5ZWVlhOeG2bdvm8MMPr3Rc3bp185e//CXJghcaK1uC+IQTTsibb76Zfv36pVu3boU9Ld95551ce+21ad++fc4+++xa7TGp+Z9hgwcPLrwos6RZW9+2vPpceE/MqvbCWnjs4p7fVrRnAuEWABSx22+/PV999dVSXTN79uz8+9//rvTcaqutlv322y8DBw7M1KlT8+6772bgwIGFPZbGjx+fY489dqn7/OKLL3LPPfcs9XWVvS1e23784x/noYceKrwBdc455+Tvf/97ta7dbbfdcuWVV+bFF1/MRx99lH/961+FzWVfe+21HHzwwcusz//93/8tzCybMWNG9thjj0yaNGmZ1Qeg+BTLc0NlSkpKMmDAgPzyl79Mkrz11lvZddddC0ss1qZmzZrlxz/+cZLklVdeWaqXVRYev8UWW6RFixaLjGnYsGF+9atfZfDgwZk2bVpee+219O/fP23btk2SPPzwwznrrLOWwVdSUfkssvKZ9wAUtw8++CCffvppkhT2mlyc8p/lSTJ58uRKx6y33no5+eSTM3To0Hz66acZP358zjrrrKy55popKyvLeeedt9R7Ri6rHmvrZ9g///nPJAtmuR966KFLHNu8efPCyzHLq88f/OAHheOqZqcvfL5u3f+3m9XCs8pXtGcCe24BQBErD3822GCD/OMf/6hy/BlnnJG33347N998c37zm99UOX6DDTbIkUcemd69e6dz58559tlnc//99+err75Ko0aNqt3nHXfcUXij+P/+7/+yxRZbLHH8Aw88kH/+858ZOXJk3nzzzbRu3bra96oJnTp1ygMPPJA999wzs2fPTt++fdO4ceP87ne/q3aNtddeOwcffHAOPvjg9OjRI/fdd18mTJiQKVOmVPn9qa7zzz8/s2fPTv/+/fPRRx9lt912y4gRI5bJOugAFJ9ieW5YnDp16mTQoEGZM2dO7rrrrkydOjW77757hg8fXuEXL7XhiCOOKMza6t+/f6644opqXde/f//C8YEHHlitazbddNP06dMnhx9+eH7wgx9k+vTpuf3229OvX7+lb3wJOnTokOnTp2fcuHGZPXu2fbcAitzCgUVpaekSx3799deVXrc4derUSYcOHdKhQ4f06tWrEDzdfvvt6dGjR4332KFDhzz55JN5++2389Zbb9XIvlsTJkwoLI/YvXv3SvcZX1i9evWyzTbbZOLEiRk5cmTKysqW+cyoTTbZJBtvvHHefvvtKpd0Xvj8hhtuWDhu3759SkpKUlZWlhEjRlTrmbCmCLcAoEi98cYbefLJJ5Mk+++/fw455JAqrxk3blwuueSSDB8+PG+//XY23njjat2rXr166dq1a5599tmUlpZm5syZS/VLqvJfpq211lr54x//mHr16i1x/DbbbJN//vOfKSsryz//+c/86U9/qva9asqOO+6Y++67L3vvvXfmzJmTE088MY0aNfpOD3q77bZb7rvvviQL1rNeVuFWklx66aX56quvct111+W9997LbrvtlpEjR1b73x6AlUMxPTcsSd26dTNkyJD07NkzDzzwQF5++eXC3hvl+4TVhiOPPDLnnXdePvzww1xzzTU59NBD06VLlyVe89RTT+Xaa69NsmB2Vvm+YtXVrFmzbLfddpk+fXqF/TCWlX322Sf33XdfZs+enQEDBuTkk09e5vcAoOY0b948zZo1y+eff55Ro0altLR0scHV8OHDC8dt2rRZqvt06NAha621VmbMmLHUP5+WVY/77LNP4QWSfv365dJLL12qPr6LhVeeWdxyit+2zz77ZOLEiXnjjTdy7733Zr/99lvmfe2///7p169fPvjggzz99NP56U9/Wum4u+66q3C80047FY6bN2+en/70p3nqqady++2357zzzkvLli2XeZ/fhWUJAaBIlYc/SXLAAQdU65ryceWhUbmRI0dm6tSpi71u3rx5hQfHpk2bZt111612n2+99VZhM9gePXpUGWwlC8Kt8o1OF+5zRbPbbrvl3//+d+rVq5eysrL89re/zb/+9a8KYyZMmJAJEyYstkZZWVlhw9mSkpJlPkutpKQk11xzTX79618nSd5+++3suuuuK9xyAgAsX8Xy3FAd9evXz5133llY2nfChAn5xS9+UeneYDWladOmhf0+vvnmm+y9994ZNmzYYsc/8cQT2XvvvQtLAP3lL39ZZJP2hx9+eInLLn722WcZM2ZMkqX/xWN1/PrXvy68uX3WWWdV+CXit02fPn2Z3x+AZatOnTrp3r17kgXLy5133nmVjpsxY0bOOOOMwt/33nvvCudvu+22JS5zPG7cuMyYMSPJ0v98WlY97r777oXZY5dffvki/zt9YZ9++ulSL9v8bd98802GDBmSZMEqLeVfQ1VOPPHENGnSJEly7LHH5sUXX1zs2O/6s/bkk09Ow4YNkyQnnXRSZs2atciYW265JU888USSBbPOvr0/V/n3evbs2TnwwAPz2WefLfM+vwvhFgAUqfJfMq233noV3qpZku23377wkLLwL6kee+yxbLnlltlll11y8cUX5+GHH86zzz6bp556KjfeeGN22mmnwmbnv/3tb6u1LEG5m2++ufDLtP3337/a15WPnTJlSkaNGlXt62pa9+7dM2TIkKy22mqZP39+evfuXWF/sQkTJqR9+/bp1KlT/vKXv2To0KEZP358Ro8enSFDhmTPPffMf/7znyQLwr9v/2JrWahTp05uuummwvf0tddey+67756PPvpomd8LgBVTsTw3VFfDhg1z3333FWZHPfPMM9l7770LyyDXhm7duuWyyy5LSUlJZs6cmV133TU9e/bM4MGDM3r06DzzzDO59dZbs//++2fXXXfNzJkzkywIkU499dRF6g0ZMiSbbLJJunfvnssuuyyPPfZYnnvuuYwYMSJXXXVVdthhh7zzzjtJkuOPP36Zfz0NGzbMP//5z9StWzezZ8/Obrvtlt/85je577778uyzz2bUqFG56aabctBBB2WzzTZb5vcHYNn73//938Iys+eee2723Xff3HnnnXnuuecyatSo9OvXLz/5yU/y8ssvJ1nwQufPf/7zCjXOOOOMtGzZMkcccURuuOGGPPnkk3nuuefy3//+N+eee2723HPPJAv25jz66KNrpcdkwbNL06ZNM3/+/Bx66KHZf//9c8cdd2T8+PEZM2ZMbr311vzmN7/JJptskg8++GCp+1zYww8/nPfffz9Jcuihh1brpd4kWX/99XP11VcnST788MN06tQpv//97/PQQw9lwoQJefLJJ3PNNdekW7du6dq163fqbeONN87//d//JVmwH2qnTp0yaNCgjB8/Po8//nhOPPHEHHHEEUkWzAqvbJnjffbZJ0cddVSS5Omnn87WW2+d888/PyNGjMiECRPy3//+NxdccEE6dOiQs88++zv1+V1YlhAAitBTTz1VeGO6Z8+ehU1Iq1JSUpJevXqlf//+eeWVV/LMM89k++23T5LMnz8/w4cPX+Jbub169cr555+/VL2W/zKsWbNm2WOPPap93QEHHJC//e1vSRYEZDvssMNS3bcm7b///hk0aFAOO+ywlJaW5uCDD869996bX/ziF4UxY8eOzdixYxdbY8cdd8zAgQOXW4+rrbZaYRmnoUOHZtKkSYVlnNZaa63ldl8Aal8xPTcsjSZNmuSBBx7IbrvtlnHjxmXEiBHZb7/98p///CcNGjRYbvddkpNOOimbbLJJTjrppLz99tu55557Krz0srDVVlstZ555Zv785z8vdo+Nr7/+Og888EAeeOCBxd7zhBNOSJ8+fb5X34u7/89+9rPcf//9OfTQQzNjxozcdNNNuemmm77XvQCoPVtttVXuvffeHHroofn444/zn//8p/Cy5bftuuuuueOOOyo9N3PmzAwaNCiDBg2q9HzDhg1z7bXXFmZP1UaP7dq1yxNPPJGePXtm2rRpueuuuyosvbcsLbwk4WGHHbZU1/bu3Tvz58/P8ccfn6+++ir9+/evsCdnue+zb1jfvn3z6aef5sILL8zLL79cCLMWtt566+Wee+5Z7DYJ1157bRo1apQrr7wy7777bv7nf/6n0nE/+tGPvnOfS8vMLQAoQgs/OC3NbKhvjy+vc/rpp+eBBx7IKaecks6dO2fjjTdOw4YN07Bhw7Ru3ToHH3xwhg4dmjvvvLMwnb06Ro0alSlTpiRZsEzA0vyiqX379tl0002TLFj2YN68edW+tjb86le/yjXXXJOSkpLMmzcvvXr1yrBhw/LLX/4yw4YNy//8z/9kp512Sps2bdK4cePUr18/rVq1yr777ptbb70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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 766, "width": 859 } }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3, 3, figsize=(10, 8), sharex=True, sharey=True)\n", "\n", "for i, ax in enumerate(axs.flatten()):\n", " result_series = poker.iloc[i]\n", " starting_hand = result_series[\"Cards\"]\n", " count_series = result_series.drop(index=[\"Cards\"])\n", " counts = count_series.values\n", " labels = count_series.index\n", "\n", " hist_rank(ax, counts, labels)\n", " # Place text on each plot in at a location the units of the axes of the plot\n", " # (in this case, the upper-right corner is 8.75, 7250 since there are\n", " # 9 elements so 8.75 goes near the end of the x axis and 7250 since the max values is about 7500.\n", " ax.text(8.75, 7250, starting_hand, horizontalalignment=\"right\")\n", "\n", "fig.subplots_adjust(hspace=0, wspace=0)\n", "\n", "# Add axis labels to ONLY the left-most axes for the y-label and bottom-most for the x-label\n", "for ax in axs[:, 0]:\n", " ax.set_ylabel(\"Count\")\n", "for ax in axs[-1, :]:\n", " ax.set_xlabel(\"Hand Rank\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**(8)** Compare how starting with each subset of cards affects possible hand ranks with all seven cards. Which starting subsets appear to be the most advantageous? Which seems to be the least advantageous?" ] } ], "metadata": { "kernelspec": { "display_name": "book", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.0" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }