{"id":230948,"date":"2025-10-27T13:16:50","date_gmt":"2025-10-27T07:46:50","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=230948"},"modified":"2025-10-27T13:17:00","modified_gmt":"2025-10-27T07:47:00","slug":"probability-theory-for-ssc-cgl","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/","title":{"rendered":"Probability Theory for SSC CGL Tier 2 Paper 2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#1_What_is_Probability\" >1. What is Probability?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#2_Key_Terms_in_Probability\" >2. Key Terms in Probability<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#3_Classical_or_Theoretical_Probability\" >3. Classical or Theoretical Probability<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#4_Complementary_Events\" >4. Complementary Events<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#5_Conditional_Probability\" >5. Conditional Probability<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#6_Bayes_Theorem\" >6. Bayes\u2019 Theorem<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#7_Properties_of_Probability\" >7. Properties of Probability<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#Key_Takeaways_for_SSC_CGL_Tier_2_JSO\" >Key Takeaways for SSC CGL Tier 2 (JSO)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>In SSC CGL Tier 2 <a href=\"https:\/\/www.oliveboard.in\/ssc-jso\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO<\/a> (Junior Statistical Officer &#8211; Paper II), Probability Theory is an important topic in Statistics &amp; Probability. It helps to quantify uncertainty  predicting how likely an event is to occur. Questions are mostly conceptual or formula-based, so a clear understanding is key.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-1-what-is-probability\"><span class=\"ez-toc-section\" id=\"1_What_is_Probability\"><\/span><strong>1. What is Probability?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-definition\"><strong>Definition<\/strong><\/h3>\n\n\n\n<p>Probability measures the likelihood of occurrence of an event. It always lies between 0 and 1. <\/p>\n\n\n\n<p>P(E)= <strong>Total&nbsp;number&nbsp;of&nbsp;possible&nbsp;outcomes\/Number&nbsp;of&nbsp;favourable&nbsp;outcomes\u200b<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Event Type<\/strong><\/strong><\/td><td><strong><strong>Probability Value<\/strong><\/strong><\/td><td><strong><strong>Example<\/strong><\/strong><\/td><\/tr><tr><td><strong>Certain Event<\/strong><\/td><td>1<\/td><td>Getting a number \u2264 6 on a die<\/td><\/tr><tr><td><strong>Impossible Event<\/strong><\/td><td>0<\/td><td>Getting number 7 on a die<\/td><\/tr><tr><td><strong>Likely Event<\/strong><\/td><td>Between 0 and 1<\/td><td>Getting an even number on a die<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=Contms&amp;utm_medium=Organic&amp;utm_source=Blog&amp;utm_campaign=Contms\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free New Interface SSC CGL Tier 2 Mock test<\/a><\/div>\n<\/div>\n\n\n\n<p>Also check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-quantitative-aptitude-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Quantitative Aptitude Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-2-key-terms-in-probability\"><span class=\"ez-toc-section\" id=\"2_Key_Terms_in_Probability\"><\/span><strong>2. Key Terms in Probability<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Below are the key terms explained:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Term<\/strong><\/strong><\/td><td><strong><strong>Meaning<\/strong><\/strong><\/td><td><strong><strong>Example<\/strong><\/strong><\/td><\/tr><tr><td><strong>Experiment<\/strong><\/td><td>Any activity that produces an outcome.<\/td><td>Tossing a coin<\/td><\/tr><tr><td><strong>Sample Space (S)<\/strong><\/td><td>Set of all possible outcomes.<\/td><td>For one coin \u2192 {H, T}<\/td><\/tr><tr><td><strong>Event (E)<\/strong><\/td><td>Subset of sample space.<\/td><td>Getting Head = {H}<\/td><\/tr><tr><td><strong>Mutually Exclusive Events<\/strong><\/td><td>Two events cannot occur together.<\/td><td>Getting Head and Tail in one toss<\/td><\/tr><tr><td><strong>Exhaustive Events<\/strong><\/td><td>All possible outcomes together.<\/td><td>{H, T} for a coin<\/td><\/tr><tr><td><strong>Independent Events<\/strong><\/td><td>Occurrence of one does not affect another.<\/td><td>Tossing two coins<\/td><\/tr><tr><td><strong>Dependent Events<\/strong><\/td><td>One event affects the probability of another.<\/td><td>Drawing cards without replacement<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-text-align-center wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-2-weightage-of-english-and-quant\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">Check SSC CGL Tier 2 Weightage of English and Quant<\/a><\/div>\n<\/div>\n\n\n\n<p>Also check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-english-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Quantitative Aptitude Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-3-classical-or-theoretical-probability\"><span class=\"ez-toc-section\" id=\"3_Classical_or_Theoretical_Probability\"><\/span><strong>3. Classical or Theoretical Probability<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"476\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.45.43-AM-1024x476.webp\" alt=\"\" class=\"wp-image-231089\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.45.43-AM-1024x476.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.45.43-AM-768x357.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.45.43-AM-150x70.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.45.43-AM.webp 1230w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-score-calculator\/?ref-contmk-scsc\" target=\"_blank\" rel=\"noreferrer noopener\">Calculate your Score using sSC CGL Tier 1 Score Calculator<\/a><\/div>\n<\/div>\n\n\n\n<p>Check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-computer-awareness-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Computer Awareness Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-4-complementary-events\"><span class=\"ez-toc-section\" id=\"4_Complementary_Events\"><\/span><strong>4. Complementary Events<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"288\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.44.03-AM-1-1024x288.webp\" alt=\"\" class=\"wp-image-231090\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.44.03-AM-1-1024x288.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.44.03-AM-1-768x216.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.44.03-AM-1-150x42.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.44.03-AM-1.webp 1230w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-2-books\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">Check SSC CGL Tier 2 Books<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-5-conditional-probability\"><span class=\"ez-toc-section\" id=\"5_Conditional_Probability\"><\/span><strong>5. Conditional Probability<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-definition-0\"><strong>Definition<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"424\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.49.51-AM-1024x424.webp\" alt=\"\" class=\"wp-image-231091\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.49.51-AM-1024x424.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.49.51-AM-768x318.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.49.51-AM-1536x636.webp 1536w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.49.51-AM-150x62.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.49.51-AM.webp 1598w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-multiplication-theorem-of-probability\"><strong>Multiplication Theorem of Probability<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"172\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.51.24-AM-1024x172.webp\" alt=\"\" class=\"wp-image-231092\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.51.24-AM-1024x172.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.51.24-AM-768x129.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.51.24-AM-1536x258.webp 1536w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.51.24-AM-150x25.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.51.24-AM.webp 1598w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-6-bayes-theorem\"><span class=\"ez-toc-section\" id=\"6_Bayes_Theorem\"><\/span><strong>6. Bayes\u2019 Theorem<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-definition-1\"><strong>Definition<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"423\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.52.41-AM-1024x423.webp\" alt=\"\" class=\"wp-image-231093\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.52.41-AM-1024x423.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.52.41-AM-768x317.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.52.41-AM-1536x634.webp 1536w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.52.41-AM-150x62.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.52.41-AM.webp 1598w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-example-of-bayes-theorem\"><strong>Example of Bayes\u2019 Theorem<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"475\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.53.49-AM-1024x475.webp\" alt=\"\" class=\"wp-image-231094\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.53.49-AM-1024x475.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.53.49-AM-768x357.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.53.49-AM-1536x713.webp 1536w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.53.49-AM-150x70.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-21-at-9.53.49-AM.webp 1598w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-7-properties-of-probability\"><span class=\"ez-toc-section\" id=\"7_Properties_of_Probability\"><\/span><strong>7. Properties of Probability<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Below are the properties of probability:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Property<\/strong><\/strong><\/td><td><strong><strong>Formula \/ Explanation<\/strong><\/strong><\/td><\/tr><tr><td>Probability always lies between 0 and 1<\/td><td>0 \u2264 P(E) \u2264 1<\/td><\/tr><tr><td>Probability of entire sample space<\/td><td>P(S) = 1<\/td><\/tr><tr><td>Probability of impossible event<\/td><td>P(\u03a6) = 0<\/td><\/tr><tr><td>Addition Law<\/td><td>P(A \u222a B) = P(A) + P(B) \u2212 P(A \u2229 B)<\/td><\/tr><tr><td>If A and B are mutually exclusive<\/td><td>P(A \u222a B) = P(A) + P(B)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Check other SSC JSO related blogs:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Blogs<\/strong><\/strong><\/td><td><strong>Blogs<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/ssc-jso-mock-test\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Mock Test<\/a><\/td><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-books\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Books<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-cutoff\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Cut Off<\/a><\/td><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-promotion\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Promotion<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-key-takeaways-for-ssc-cgl-tier-2-jso\"><span class=\"ez-toc-section\" id=\"Key_Takeaways_for_SSC_CGL_Tier_2_JSO\"><\/span><strong>Key Takeaways for SSC CGL Tier 2 (JSO)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Below are the key takeaways:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Probability<\/strong> \u2192 measures likelihood of events.<\/li>\n\n\n\n<li><strong>Conditional Probability<\/strong> \u2192 used when one event depends on another.<\/li>\n\n\n\n<li><strong>Bayes\u2019 Theorem<\/strong> \u2192 finds probability of a cause given an outcome.<\/li>\n\n\n\n<li><strong>Always check whether events are independent or dependent<\/strong> before applying formulas.<\/li>\n\n\n\n<li><strong>Common exam focus:<\/strong> conditional probability, Bayes\u2019 theorem, addition &amp; multiplication rules.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span><strong>FAQs <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1761020732196\"><strong class=\"schema-faq-question\"><strong>Q1. What is the range of probability?<\/strong><\/strong> <p class=\"schema-faq-answer\">Probability always lies between 0 and 1.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761020738283\"><strong class=\"schema-faq-question\"><strong>Q2. What is conditional probability?<\/strong><\/strong> <p class=\"schema-faq-answer\">Conditional probability is the probability of an event occurring given that another event has already occurred.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761020743951\"><strong class=\"schema-faq-question\"><strong>Q3. What is Bayes\u2019 theorem used for?<\/strong><\/strong> <p class=\"schema-faq-answer\">It helps find the probability of a cause when the effect is known.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761020748334\"><strong class=\"schema-faq-question\"><strong>Q4. What is the difference between independent and dependent events?<\/strong><\/strong> <p class=\"schema-faq-answer\">Independent events do not affect each other, while dependent events influence each other\u2019s outcomes.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761020752602\"><strong class=\"schema-faq-question\"><strong>Q5. Which type of probability questions are most common in SSC CGL Tier 2?<\/strong><\/strong> <p class=\"schema-faq-answer\">Conditional probability and Bayes\u2019 theorem-based numerical questions are most frequently asked.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-1-pyps\/\">SSC CGL 2025 Tier 1 Question Papers, Shift-Wise PYPs, Download PDFs<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-air-70-strategy\/\">SSC CGL AIR 70 Strategy: Mock Analysis &amp; Prep Tips<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/how-did-air-1-use-oliveboard-to-crack-ssc-cgl\/\">How did AIR 1 use Oliveboard to crack SSC CGL 2026? Mock Data Analysis<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/number-puzzles-for-ssc\/\">Number Puzzle Questions for SSC Exams, Attempt Now<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/geometry\/\">Geometry Question Types, Formulas, Concepts, Short Tricks<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/active-passive-voice-for-ssc-exams\/\">Active and Passive Voice Questions for SSC Exams 2026, Attempt Now<\/a><\/li>\n<\/ul>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n","protected":false},"excerpt":{"rendered":"<p>In SSC CGL Tier 2 SSC JSO (Junior Statistical Officer &#8211; Paper II), Probability Theory is an important topic in<\/p>\n","protected":false},"author":65,"featured_media":231099,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-230948","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articles","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Probability Theory for SSC CGL Tier 2 Paper 2<\/title>\n<meta name=\"description\" content=\"Learn Probability Theory for SSC CGL Tier 2 (JSO) key concepts, formulas, conditional probability, Bayes\u2019 theorem, and exam-focused shortcuts explained.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/probability-theory-for-ssc-cgl\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Probability Theory for SSC CGL Tier 2 Paper 2\" \/>\n<meta property=\"og:description\" content=\"In SSC CGL Tier 2 SSC JSO (Junior Statistical Officer - Paper II), Probability Theory is an important topic in Statistics &amp; Probability. 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