https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:algebra-of-events/v/algebra-of-events 2025-03-01T15:52:37.13987578Z Algebra of events Let's talk about adding and subtracting events. Lets leverage our knowledge from the chapter Sets to find intersection and union of events! Specifically, we find A or B, A and B, and A but not B - for two given sets A and B. We then practice what we've learnt by solving some more problems. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Algebra of events Let's talk about adding and subtracting events. Lets leverage our knowledge from the chapter Sets to find intersection and union of events! Specifically, we find A or B, A and B, and A but not B - for two given sets A and B. We then practice what we've learnt by solving some more problems. https://cdn.kastatic.org/ka-youtube-converted/glHiLlPuezg.mp4/glHiLlPuezg.mp4 436 Algebra of events https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:algebra-of-events/v/worked-example-algebra-of-events 2025-03-01T15:52:37.13987578Z 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 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/xR7FAK2z6lQ.mp4/xR7FAK2z6lQ.mp4 761 Algebra of events https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:algebra-of-events/v/mutually-exclusive-events 2025-03-01T15:52:37.13987578Z 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 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/8xlaJ9dGr9A.mp4/8xlaJ9dGr9A.mp4 490 Algebra of events https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:algebra-of-events/v/exhaustive-events 2025-03-01T15:52:37.13987578Z 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 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/81lk04cXvks.mp4/81lk04cXvks.mp4 445 Algebra of events https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:algebra-of-events/v/mutually-exclusive-and-exhaustive-events 2025-03-01T15:52:37.13987578Z 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 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/MNqTpV4tpz4.mp4/MNqTpV4tpz4.mp4 567 Algebra of events https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:algebra-of-events/e/mutually-exclusive-and-exhaustive-events 2025-12-30T07:05:15.972746521Z Mutually exclusive and exhaustive events find whether given pair/set of events are mutually exclusive and/or exhaustive. srijan exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:algebra-of-events/e/algebra-of-probabilities-of-events 2025-02-27T12:31:05.94748833Z Algebra of probabilities of events Find P(A or B), P(A and B) and P(not A). srijan exercise