https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/axiomatic-approach-to-probability 2025-03-24T05:52:22.847271672Z प्रायिकता का अभिगृहितीय दृष्टिकोण (Axiomatic approach to probability) Let's talk about a beautiful approach to Probability in this video. The axioms mentioned serve as the foundation on which we build everything we know about this topic. The first two axioms are straightforward. No event has a negative probability. Sum of all probabilities should be one. The third one involves joining two mutually exclusive events. Watch the video to find out more! Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw प्रायिकता का अभिगृहितीय दृष्टिकोण (Axiomatic approach to probability) Let's talk about a beautiful approach to Probability in this video. The axioms mentioned serve as the foundation on which we build everything we know about this topic. The first two axioms are straightforward. No event has a negative probability. Sum of all probabilities should be one. The third one involves joining two mutually exclusive events. Watch the video to find out more! https://cdn.kastatic.org/ka-youtube-converted/ignOohVizJY.mp4/ignOohVizJY.mp4 612 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/probability-of-equally-likely-outcomes 2025-03-24T05:52:22.847271672Z सम संभाव्य परिणामों की प्रायिकता (Probability of equally likely outcomes) How do we know if two events are equally likely? Let's find that out in this video. We start by finding the probability of a sample point. We then zoom out to find the probability of an event that is made up of a number of equally likely sample points. Finally, we look at a few practice problems to strengthen our understanding. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw सम संभाव्य परिणामों की प्रायिकता (Probability of equally likely outcomes) How do we know if two events are equally likely? Let's find that out in this video. We start by finding the probability of a sample point. We then zoom out to find the probability of an event that is made up of a number of equally likely sample points. Finally, we look at a few practice problems to strengthen our understanding. https://cdn.kastatic.org/ka-youtube-converted/xCsq69Wd-s0.mp4/xCsq69Wd-s0.mp4 348 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/probability-of-the-event-a-or-b-1 2025-03-24T05:52:22.847271672Z घटना A या B की प्रायिकता (Probability of the event A or B) Let's use our understanding of sets and Venn diagrams to find probability of union of events. We first look at a concrete example and try to find the probability of event A or B. Through the result, we try to observe a pattern which we then generalise into a robust formula. We then prove that formula using axioms of probability discussed in previous videos. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw घटना A या B की प्रायिकता (Probability of the event A or B) Let's use our understanding of sets and Venn diagrams to find probability of union of events. We first look at a concrete example and try to find the probability of event A or B. Through the result, we try to observe a pattern which we then generalise into a robust formula. We then prove that formula using axioms of probability discussed in previous videos. https://cdn.kastatic.org/ka-youtube-converted/51L8B3Bg2gg.mp4/51L8B3Bg2gg.mp4 356 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/probability-of-the-event-not-a 2025-03-24T05:52:22.847271672Z घटना ‘A नहीं’ की प्रायिकता (Probability of the event 'Not A') In this video, we'll learn how to find the probability of a complement of an event. We first take a concrete example and get an intuition of how probabilities add up to 1. We then prove the formula visually before doing it again using axioms. We finally solve a few practice problems to get a better grasp of this topic. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw घटना ‘A नहीं’ की प्रायिकता (Probability of the event 'Not A') In this video, we'll learn how to find the probability of a complement of an event. We first take a concrete example and get an intuition of how probabilities add up to 1. We then prove the formula visually before doing it again using axioms. We finally solve a few practice problems to get a better grasp of this topic. https://cdn.kastatic.org/ka-youtube-converted/wmHT5kPC7qo.mp4/wmHT5kPC7qo.mp4 268 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/worked-example-probability-formula-based 2025-03-24T05:52:22.847271672Z उदाहरण - प्रायिकता (सूत्र आधारित) (Worked example - Probability (formula based)) Let's use the formulae we've proved to solve a problem on Probability. We rely heavily on formulae to solve problems discussed in this video. However, we do give a visual intuition of Demorgan's law (as much as is required). These problems help build our muscle of leveraging formulae to simplify the expressions given in relatively tougher probability problems. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw उदाहरण - प्रायिकता (सूत्र आधारित) (Worked example - Probability (formula based)) Let's use the formulae we've proved to solve a problem on Probability. We rely heavily on formulae to solve problems discussed in this video. However, we do give a visual intuition of Demorgan's law (as much as is required). These problems help build our muscle of leveraging formulae to simplify the expressions given in relatively tougher probability problems. https://cdn.kastatic.org/ka-youtube-converted/8PvNUcbKDZE.mp4/8PvNUcbKDZE.mp4 446 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/worked-example-probability-visualisation 2025-03-24T05:52:22.847271672Z उदाहरण - प्रायिकता (दृश्यांकन) (Worked example - Probability (visualisation)) Formulas work. But visualisation works better. Let's use the latter to solve a problem in this video. This video serves as an example of problems that we can solve without using much formulae. Getting a good hold of Venn Diagrams can help us solve a number of problems fairly quickly. And elegantly! Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw उदाहरण - प्रायिकता (दृश्यांकन) (Worked example - Probability (visualisation)) Formulas work. But visualisation works better. Let's use the latter to solve a problem in this video. This video serves as an example of problems that we can solve without using much formulae. Getting a good hold of Venn Diagrams can help us solve a number of problems fairly quickly. And elegantly! https://cdn.kastatic.org/ka-youtube-converted/0th5vVXZC9Q.mp4/0th5vVXZC9Q.mp4 280 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/in-class-10-math-foundation/x2f38d68e85c34aec:statistics-and-probability/x2f38d68e85c34aec:untitled-83/v/intuitive-sense-of-probabilities 2021-02-15T05:25:15Z प्रायिकता का सहज ज्ञान​ (Intuitive sense of probabilities) Think about what probabilities really mean. What does a probability of 0 mean? How about 1? video https://cdn.kastatic.org/googleusercontent/4UBVpzwv0xGQxNIIWHdBrJ1dh2sBPj06oTMZrhRffskB-02IA2z5ccOIOPFaml1JAmfnr3gmKW93tQpmW0X0REu7 प्रायिकता का सहज ज्ञान​ (Intuitive sense of probabilities) Think about what probabilities really mean. What does a probability of 0 mean? How about 1? https://cdn.kastatic.org/ka-youtube-converted/XkOSwY-UUII.mp4/XkOSwY-UUII.mp4 531 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/events-and-outcomes-3 2021-04-15T01:52:29Z परिणामों की गणना के साथ प्रायिक्ता​ (Probability with counting outcomes) The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes. Sal Khan video https://cdn.kastatic.org/googleusercontent/J8ALxFbQ9NJcsGEmCib5e1nHkfa5HGy3ynv872nvM0QMo4gM7C-tUxdIKXRyH8czm7XqL5vRXLZhFWQZsEl2IlQqUA परिणामों की गणना के साथ प्रायिक्ता​ (Probability with counting outcomes) The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes. https://cdn.kastatic.org/ka-youtube-converted/WYgyXtBA2wU.mp4/WYgyXtBA2wU.mp4 129 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-10/x7a20084235b15acc:probability-ncert-new/x7a20084235b15acc:probability-a-theoretical-approach/e/probability-of-an-event 2025-12-30T08:57:11.466217762Z घटनाओं की प्रायिकता किसी घटना की प्रायिकता या घटना का पूरक ज्ञात करें। srijan exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/probability-from-compound-sample-space 2021-02-15T05:25:15Z मिश्र घटना की प्रायिकता​ (Probability of a compound event) Learn how to use sample space diagrams to find probabilities. video https://cdn.kastatic.org/googleusercontent/aMgLAjfc5lyfsEqtAvZSpwl6_PBLhQ7sApaufRTGoevrvhV7E63aAonSQv6WEq8QuyfsDQzDbws6Xc672NbshDjV मिश्र घटना की प्रायिकता​ (Probability of a compound event) Learn how to use sample space diagrams to find probabilities. https://cdn.kastatic.org/ka-youtube-converted/QAFzfqabN-8.mp4/QAFzfqabN-8.mp4 303 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:probability-ncert-new/x808831787a7b08a2:axiomatic-approach-to-probability/v/frequency-probability-and-unfair-coins 2021-04-15T01:52:28Z सम संभाव्य घटनाओं रहित प्रायिकता Up until now, we've looked at probabilities surrounding only equally likely events. What about probabilities when we don't have equally likely events? Say, we have unfair coins? Sal Khan video https://cdn.kastatic.org/googleusercontent/TGAvwWqe4FSy1Fke7veDxfL7fSrUUJGB7yWiNBwqr_pUPhpLFoJpye13nndrFKb35lNYKFFf9OjJrjOT2T6tstAOFg सम संभाव्य घटनाओं रहित प्रायिकता Up until now, we've looked at probabilities surrounding only equally likely events. What about probabilities when we don't have equally likely events? Say, we have unfair coins? https://cdn.kastatic.org/ka-youtube-converted/BsBXVpOBNQ8.mp4/BsBXVpOBNQ8.mp4 538 प्रायिकता की अभिग्रहीतीय दृष्टिकोण (Axiomatic approach to probability) https://hi.khanacademy.org/math/up-math-class-10/x7a20084235b15acc:probability-ncert-new/x7a20084235b15acc:probability-a-theoretical-approach/e/probability-of-complements 2025-03-24T05:52:22.847271672Z पूरक घटनाओं की प्रायिकता एक सरल और उसकी पूरक घटनाओं की प्रायिकताएं ज्ञात कीजिए तथा दोनों के बीच संबंध का वर्णन कीजिए। Charlie Auen exercise