https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:algebra-of-events/v/algebra-of-events 2025-03-24T05:52:22.847271672Z घटनाओं का बीजगणित (Algebra of Events) चलिए घटनाओं को जोड़ने और घटाने के बारे में बात करते हैं। समुच्य पाठ में सीखे गए ज्ञान का प्रयोग हम घटनाओं के सर्वनिष्ठ तथा सम्म्मिलन को ज्ञात करते हैं। विशिष्ट रूप से हम दिए गए समुच्यों A एवं B के लिए , घटना A या B तथा A परन्तु B नहीं को ज्ञात करेंगे। इसके बाद हम सीखे गए ज्ञान का उपयोग कर कुछ उदाहरणों को हल करेंगे। Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw घटनाओं का बीजगणित (Algebra of Events) चलिए घटनाओं को जोड़ने और घटाने के बारे में बात करते हैं। समुच्य पाठ में सीखे गए ज्ञान का प्रयोग हम घटनाओं के सर्वनिष्ठ तथा सम्म्मिलन को ज्ञात करते हैं। विशिष्ट रूप से हम दिए गए समुच्यों A एवं B के लिए , घटना A या B तथा A परन्तु B नहीं को ज्ञात करेंगे। इसके बाद हम सीखे गए ज्ञान का उपयोग कर कुछ उदाहरणों को हल करेंगे। https://cdn.kastatic.org/ka-youtube-converted/TQNjtX4-Qgo.mp4/TQNjtX4-Qgo.mp4 436 घटनाओं का बीजगणित (Algebra of Events) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:advanced-counting/x09646558c1ff0797:probability/v/worked-example-algebra-of-events 2025-03-24T05:52:22.847271672Z उदाहरण - घटनाओं का बीजगणित (Worked example - Algebra of events) Let's solve a challenging problem to hone of skills on Algebra of Events. We're given three events that one can get when we roll two dice. We're asked to describe a bunch of events that require us to find complements, perform algebra of events, and a combination of both. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw उदाहरण - घटनाओं का बीजगणित (Worked example - Algebra of events) Let's solve a challenging problem to hone of skills on Algebra of Events. We're given three events that one can get when we roll two dice. We're asked to describe a bunch of events that require us to find complements, perform algebra of events, and a combination of both. https://cdn.kastatic.org/ka-youtube-converted/T_05CjX_66M.mp4/T_05CjX_66M.mp4 761 घटनाओं का बीजगणित (Algebra of Events) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:advanced-counting/x09646558c1ff0797:probability/v/mutually-exclusive-events 2025-03-24T05:52:22.847271672Z परस्पर अपवर्जी घटनाएँ (Mutually exclusive events) What are mutually exclusive events? Let's understand this by drawing some Venn diagrams. We note down two key observations regarding exclusivity. We then solve a hairy problem that requires us to visualise three events A, B, C, and D in order to figure out the mutually exclusive pair. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw परस्पर अपवर्जी घटनाएँ (Mutually exclusive events) What are mutually exclusive events? Let's understand this by drawing some Venn diagrams. We note down two key observations regarding exclusivity. We then solve a hairy problem that requires us to visualise three events A, B, C, and D in order to figure out the mutually exclusive pair. https://cdn.kastatic.org/ka-youtube-converted/HSTmgRISnSE.mp4/HSTmgRISnSE.mp4 490 घटनाओं का बीजगणित (Algebra of Events) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:advanced-counting/x09646558c1ff0797:probability/v/exhaustive-events 2025-03-24T05:52:22.847271672Z नि:शेष घटनाएँ(Exhaustive events) What are exhaustive events? It is said that together they cover the entire ground. What does that mean? Let's find out. We look at an example of four events that as a group cover the entire ground. We then define what exhaustive events are. We differentiate between exclusive and exhaustive events before finally figuring out that there are events that are both mutually exclusive and exhaustive. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw नि:शेष घटनाएँ(Exhaustive events) What are exhaustive events? It is said that together they cover the entire ground. What does that mean? Let's find out. We look at an example of four events that as a group cover the entire ground. We then define what exhaustive events are. We differentiate between exclusive and exhaustive events before finally figuring out that there are events that are both mutually exclusive and exhaustive. https://cdn.kastatic.org/ka-youtube-converted/ZNBxMXbg6mk.mp4/ZNBxMXbg6mk.mp4 445 घटनाओं का बीजगणित (Algebra of Events) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:algebra-of-events/v/mutually-exclusive-and-exhaustive-events 2025-03-24T05:52:22.847271672Z परस्पर अपवर्जी और निःशेष घटनाएँ (Mutually exclusive and exhaustive events) In this worked example, we'll tackle a hairy problem on the topic - Mutually exclusive and Exhaustive events. We roll two dice and list down three events A, B, and C. We then test these events and their complements against each other to find pairs that are mutually exclusive, exhaustive, and both. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw परस्पर अपवर्जी और निःशेष घटनाएँ (Mutually exclusive and exhaustive events) In this worked example, we'll tackle a hairy problem on the topic - Mutually exclusive and Exhaustive events. We roll two dice and list down three events A, B, and C. We then test these events and their complements against each other to find pairs that are mutually exclusive, exhaustive, and both. https://cdn.kastatic.org/ka-youtube-converted/0hKl6-VHy28.mp4/0hKl6-VHy28.mp4 567 घटनाओं का बीजगणित (Algebra of Events)