{"id":990,"date":"2024-07-14T06:07:32","date_gmt":"2024-07-14T06:07:32","guid":{"rendered":"http:\/\/www.ohsumin.com\/?p=990"},"modified":"2025-06-11T01:23:00","modified_gmt":"2025-06-11T01:23:00","slug":"%ec%a1%b0%ea%b1%b4%eb%b6%80%ed%99%95%eb%a5%a0conditional-probability","status":"publish","type":"post","link":"http:\/\/www.inmining.co.kr\/?p=990","title":{"rendered":"\uc870\uac74\ubd80\ud655\ub960(Conditional Probability)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\uc870\uac74\ubd80 \ud655\ub960\uc744 \uc124\uba85\ud558\uae30 \uc704\ud574 \ub2e4\uc774\uc5b4\uadf8\ub7a8\uc744 \uc0ac\uc6a9\ud558\uba74 \uac1c\ub150\uc744 \uc27d\uac8c \uc774\ud574\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc870\uac74\ubd80 \ud655\ub960 ( P(A|B) )\ub294 \uc0ac\uac74 B\uac00 \ubc1c\uc0dd\ud55c \uc870\uac74\uc5d0\uc11c \uc0ac\uac74 A\uac00 \ubc1c\uc0dd\ud560 \ud655\ub960\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4. \uc774\ub97c \ub2e4\uc774\uc5b4\uadf8\ub7a8\uc73c\ub85c \uc2dc\uac01\ud654\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%EC%98%88%EC%8B%9C\"><\/span>\uc608\uc2dc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\uc0ac\uac74 A\uc640 \uc0ac\uac74 B\uac00 \ub450 \uac1c\uc758 \ub3d9\uc804 \ub358\uc9c0\uae30 \uacb0\uacfc\ub77c\uace0 \uac00\uc815\ud574\ubd05\uc2dc\ub2e4.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\uc0ac\uac74 A: \uccab \ubc88\uc9f8 \ub3d9\uc804\uc774 \uc55e\uba74\uc77c \ud655\ub960<\/li>\n\n\n\n<li>\uc0ac\uac74 B: \ub450 \ubc88\uc9f8 \ub3d9\uc804\uc774 \uc55e\uba74\uc77c \ud655\ub960<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\uc804\uccb4 \ud655\ub960 \uacf5\uac04\uc740 \ubaa8\ub4e0 \uac00\ub2a5\ud55c \uacb0\uacfc(AA, AB, BA, BB)\ub85c \uad6c\uc131\ub429\ub2c8\ub2e4. \uc5ec\uae30\uc11c \uc870\uac74\ubd80 \ud655\ub960 ( P(A|B) )\ub294 \ub450 \ubc88\uc9f8 \ub3d9\uc804\uc774 \uc55e\uba74\uc77c \ub54c \uccab \ubc88\uc9f8 \ub3d9\uc804\uc774 \uc55e\uba74\uc77c \ud655\ub960\uc785\ub2c8\ub2e4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%EB%8B%A4%EC%9D%B4%EC%96%B4%EA%B7%B8%EB%9E%A8%EC%9C%BC%EB%A1%9C_%EC%84%A4%EB%AA%85%ED%95%98%EA%B8%B0\"><\/span>\ub2e4\uc774\uc5b4\uadf8\ub7a8\uc73c\ub85c \uc124\uba85\ud558\uae30<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\uc804\uccb4 \ud655\ub960 \uacf5\uac04<\/strong>\uc744 \ub098\ud0c0\ub0b4\ub294 \uc0ac\uac01\ud615\uc744 \uadf8\ub9ac\uace0, \uac01 \uc0ac\uac74\uc744 \ud45c\uc2dc\ud569\ub2c8\ub2e4.<\/li>\n\n\n\n<li><strong>\uc870\uac74\ubd80 \ud655\ub960<\/strong>\uc744 \ub098\ud0c0\ub0b4\uae30 \uc704\ud574 \uc0ac\uac74 B\uac00 \ubc1c\uc0dd\ud55c \uc870\uac74\uc5d0\uc11c \uc0ac\uac74 A\uc758 \ubd80\ubd84\uc9d1\ud569\uc744 \uac15\uc870\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">Venn \ub2e4\uc774\uc5b4\uadf8\ub7a8\uc744 \uc0ac\uc6a9\ud55c \uc870\uac74\ubd80 \ud655\ub960 \uc2dc\uac01\ud654<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>import matplotlib.pyplot as plt\nfrom matplotlib_venn import venn2\n\n# Define the probabilities\nP_A = 0.5  # Probability of event A (first coin is heads)\nP_B = 0.5  # Probability of event B (second coin is heads)\nP_A_and_B = 0.25  # Probability of both A and B occurring\n\n# Create Venn diagram\nplt.figure(figsize=(10, 7))\nvenn = venn2(subsets=(P_A, P_B, P_A_and_B), set_labels=('Event A', 'Event B'))\n\n# Add labels for additional clarity\nplt.text(-0.4, 0.1, f\"P(A) = {P_A}\", fontsize=12, color='blue')\nplt.text(0.4, 0.1, f\"P(B) = {P_B}\", fontsize=12, color='orange')\nplt.text(0, -0.3, f\"P(A \u2229 B) = {P_A_and_B}\", fontsize=12, color='green')\n\n# Add title and display\nplt.title(\"Venn Diagram for Conditional Probability P(A|B)\")\nplt.show()<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\uc774 \ubca4\ub2e4\uc774\uc5b4\uadf8\ub7a8\uc740 \uc0ac\uac74 A\uc640 \uc0ac\uac74 B\uc758 \ud655\ub960\uacfc \uc774\ub4e4\uc774 \ub3d9\uc2dc\uc5d0 \ubc1c\uc0dd\ud560 \ud655\ub960\uc744 \uc2dc\uac01\uc801\uc73c\ub85c \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%EC%A1%B0%EA%B1%B4%EB%B6%80_%ED%99%95%EB%A5%A0_%EA%B3%B5%EC%8B%9D\"><\/span>\uc870\uac74\ubd80 \ud655\ub960 \uacf5\uc2dd<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\uc870\uac74\ubd80 \ud655\ub960\uc758 \uc218\uc2dd\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\[<br>P(A|B) = \\frac{P(A \\cap B)}{P(B)}<br>\\]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uc5ec\uae30\uc11c \\( P(A \\cap B) \\)\ub294 \uc0ac\uac74 A\uc640 \uc0ac\uac74 B\uac00 \ub3d9\uc2dc\uc5d0 \ubc1c\uc0dd\ud560 \ud655\ub960\uc774\uba70, \\( P(B) \\)\ub294 \uc0ac\uac74 B\uac00 \ubc1c\uc0dd\ud560 \ud655\ub960\uc785\ub2c8\ub2e4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%EC%A1%B0%EA%B1%B4%EB%B6%80_%ED%99%95%EB%A5%A0%EC%9D%84_%EB%82%98%ED%83%80%EB%82%B4%EB%8A%94_%EB%8B%A4%EC%9D%B4%EC%96%B4%EA%B7%B8%EB%9E%A8\"><\/span>\uc870\uac74\ubd80 \ud655\ub960\uc744 \ub098\ud0c0\ub0b4\ub294 \ub2e4\uc774\uc5b4\uadf8\ub7a8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\uc774\uc81c \uc870\uac74\ubd80 \ud655\ub960\uc744 \uc2dc\uac01\uc801\uc73c\ub85c \ub098\ud0c0\ub0b4\uae30 \uc704\ud574 Venn \ub2e4\uc774\uc5b4\uadf8\ub7a8\uacfc \uc0ac\uac01\ud615 \ub2e4\uc774\uc5b4\uadf8\ub7a8\uc744 \uc0ac\uc6a9\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Venn \ub2e4\uc774\uc5b4\uadf8\ub7a8 \uc608\uc2dc<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>import matplotlib.pyplot as plt\nfrom matplotlib_venn import venn2\n\n# Define the probabilities\nP_A = 0.5  # Probability of event A\nP_B = 0.5  # Probability of event B\nP_A_and_B = 0.25  # Probability of both A and B occurring\n\n# Create Venn diagram\nplt.figure(figsize=(10, 7))\nvenn = venn2(subsets=(P_A, P_B, P_A_and_B), set_labels=('Event A', 'Event B'))\n\n# Add title and display\nplt.title(\"Venn Diagram for Conditional Probability P(A|B)\")\nplt.show()<\/code><\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">\uc0ac\uac01\ud615 \ub2e4\uc774\uc5b4\uadf8\ub7a8 \uc608\uc2dc<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>import matplotlib.pyplot as plt\n\n# Define the probabilities\nP_A = 0.5  # Probability of event A\nP_B = 0.5  # Probability of event B\nP_A_and_B = 0.25  # Probability of both A and B occurring\n\n# Create rectangle plot\nfig, ax = plt.subplots(figsize=(10, 7))\n\n# Draw rectangles for the probabilities\nrect1 = plt.Rectangle((0, 0), 1, P_B, edgecolor='orange', facecolor='orange', alpha=0.5, label='P(B)')\nrect2 = plt.Rectangle((0, 0), P_A_and_B \/ P_B, P_B, edgecolor='green', facecolor='green', alpha=0.5, label='P(A \u2229 B)')\n\nax.add_patch(rect1)\nax.add_patch(rect2)\n\n# Add labels for additional clarity\nplt.text(0.5, P_B \/ 2, f\"P(B) = {P_B}\", fontsize=12, color='black', ha='center')\nplt.text(P_A_and_B \/ (2 * P_B), P_B \/ 2, f\"P(A \u2229 B) = {P_A_and_B}\", fontsize=12, color='black', ha='center')\n\n# Set limits and labels\nax.set_xlim(0, 1)\nax.set_ylim(0, 1)\nax.set_aspect('equal')\nplt.xlabel(\"Probability Space\")\nplt.ylabel(\"Probability\")\n\n# Add title and legend\nplt.title(\"Rectangle Diagram for Conditional Probability P(A|B)\")\nplt.legend()\n\n# Display the plot\nplt.show()<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\uc774 \ub450 \uac00\uc9c0 \ub2e4\uc774\uc5b4\uadf8\ub7a8\uc740 \uc870\uac74\ubd80 \ud655\ub960 \\( P(A|B) \\)\ub97c \uc2dc\uac01\uc801\uc73c\ub85c \uc124\uba85\ud558\ub294 \ub370 \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uccab \ubc88\uc9f8\ub294 Venn \ub2e4\uc774\uc5b4\uadf8\ub7a8\uc744 \uc0ac\uc6a9\ud55c \uc608\uc2dc\uc774\uba70, \ub450 \ubc88\uc9f8\ub294 \uc0ac\uac01\ud615 \ub2e4\uc774\uc5b4\uadf8\ub7a8\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc870\uac74\ubd80 \ud655\ub960\uc758 \uac1c\ub150\uc744 \uc124\uba85\ud569\ub2c8\ub2e4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc870\uac74\ubd80 \ud655\ub960\uc744 \uc124\uba85\ud558\uae30 \uc704\ud574 \ub2e4\uc774\uc5b4\uadf8\ub7a8\uc744 \uc0ac\uc6a9\ud558\uba74 \uac1c\ub150\uc744 \uc27d\uac8c \uc774\ud574\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc870\uac74\ubd80 \ud655\ub960 ( P(A|B) )\ub294 \uc0ac\uac74 B\uac00&#8230;<\/p>\n","protected":false},"author":1,"featured_media":994,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-990","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-stat","wpcat-6-id"],"_links":{"self":[{"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/posts\/990","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=990"}],"version-history":[{"count":1,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/posts\/990\/revisions"}],"predecessor-version":[{"id":995,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/posts\/990\/revisions\/995"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/media\/994"}],"wp:attachment":[{"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=990"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=990"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=990"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}