https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/v/probability-of-a-given-arrangement 2025-05-30T12:59:32.180778541Z Probability of a given arrangement In this video, we calculate probabilities related to the random arrangement of a sequence of events, using the example of Riya visiting four cities (A, B, C, D) in a random order. We'll determine the probability of specific orderings, such as A being visited before B, A before B and B before C, A being visited first and B last, A being visited either first or second, and A being visited just before B. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability of a given arrangement In this video, we calculate probabilities related to the random arrangement of a sequence of events, using the example of Riya visiting four cities (A, B, C, D) in a random order. We'll determine the probability of specific orderings, such as A being visited before B, A before B and B before C, A being visited first and B last, A being visited either first or second, and A being visited just before B. https://cdn.kastatic.org/ka-youtube-converted/S3QzNcyM5a0.mp4/S3QzNcyM5a0.mp4 362 Probability using Combinatorics https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/e/probability-of-a-given-arrangement 2025-08-08T02:53:40.009522544Z Probability of a given arrangement Probability of a given arrangement Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/v/probability-of-a-given-selection 2025-05-30T12:59:32.180778541Z Probability of a given selection This video focuses on calculating probabilities when making selections from a larger group, using the example of drawing 5 marbles from a box containing 10 red, 20 blue, and 30 green marbles. We'll calculate the total number of ways to draw 5 marbles. Then, we'll find the probability of specific outcomes, such as all marbles drawn being blue, at least one marble being green, and at most 2 marbles being blue. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability of a given selection This video focuses on calculating probabilities when making selections from a larger group, using the example of drawing 5 marbles from a box containing 10 red, 20 blue, and 30 green marbles. We'll calculate the total number of ways to draw 5 marbles. Then, we'll find the probability of specific outcomes, such as all marbles drawn being blue, at least one marble being green, and at most 2 marbles being blue. https://cdn.kastatic.org/ka-youtube-converted/wBHS7tq8DSg.mp4/wBHS7tq8DSg.mp4 446 Probability using Combinatorics https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/e/probability-of-a-given-selection 2025-08-08T02:53:40.009522544Z Probability of a given selection Probability of a given selection Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/v/probability-of-winning-a-lottery 2025-05-30T12:59:32.180778541Z Probability of winning a lottery In this video, we explore the probabilities associated with winning a lottery. We start with a simple lottery where 3 numbers are chosen from 12. We'll calculate the probability of winning with a single ticket, and how that changes if you have multiple tickets. We'll also consider scenarios with multiple winning sets and the probability of winning at least once when holding multiple tickets. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability of winning a lottery In this video, we explore the probabilities associated with winning a lottery. We start with a simple lottery where 3 numbers are chosen from 12. We'll calculate the probability of winning with a single ticket, and how that changes if you have multiple tickets. We'll also consider scenarios with multiple winning sets and the probability of winning at least once when holding multiple tickets. https://cdn.kastatic.org/ka-youtube-converted/idFPyklE8no.mp4/idFPyklE8no.mp4 308 Probability using Combinatorics https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/v/probability-of-winning-a-relay-race 2025-05-30T12:59:32.180778541Z Probability of winning a relay race This video delves into calculating probabilities related to the finishing order of a relay race with 5 teams (A, B, C, D, E). We'll determine the probability of specific outcomes, such as teams A, B, and C finishing first, second, and third in that exact order. We'll also calculate the probability that A, B, and C are the top three finishers regardless of their order, and the probability that team A finishes in the top three while team B does not. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability of winning a relay race This video delves into calculating probabilities related to the finishing order of a relay race with 5 teams (A, B, C, D, E). We'll determine the probability of specific outcomes, such as teams A, B, and C finishing first, second, and third in that exact order. We'll also calculate the probability that A, B, and C are the top three finishers regardless of their order, and the probability that team A finishes in the top three while team B does not. https://cdn.kastatic.org/ka-youtube-converted/KFcIOdHR3fc.mp4/KFcIOdHR3fc.mp4 249 Probability using Combinatorics https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/v/probability-of-a-given-grouping 2025-05-30T12:59:32.180778541Z Probability of a given grouping In this video, we calculate probabilities related to how individuals are divided into groups. We'll start with a scenario of 5 students being divided into a group of 2 and a group of 3, and find the probability that two specific students (A and B) end up in the same group, and then in different groups. We'll also explore how these probabilities change with larger group sizes, such as groups of 40 and 60, or two groups of 50. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability of a given grouping In this video, we calculate probabilities related to how individuals are divided into groups. We'll start with a scenario of 5 students being divided into a group of 2 and a group of 3, and find the probability that two specific students (A and B) end up in the same group, and then in different groups. We'll also explore how these probabilities change with larger group sizes, such as groups of 40 and 60, or two groups of 50. https://cdn.kastatic.org/ka-youtube-converted/BDbIxldDmN0.mp4/BDbIxldDmN0.mp4 392 Probability using Combinatorics https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/v/letters-and-envelopes 2025-05-30T12:59:32.180778541Z Letters and envelopes This video explores the classic probability problem of matching letters to their corresponding envelopes. We first analyze the scenario with 3 letters and 3 envelopes, calculating the total possible arrangements and then the probability that all letters go into the correct envelopes, and the probability that all letters go into incorrect envelopes (a concept known as derangements). We then extend this to a 4-letter, 4-envelope scenario. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Letters and envelopes This video explores the classic probability problem of matching letters to their corresponding envelopes. We first analyze the scenario with 3 letters and 3 envelopes, calculating the total possible arrangements and then the probability that all letters go into the correct envelopes, and the probability that all letters go into incorrect envelopes (a concept known as derangements). We then extend this to a 4-letter, 4-envelope scenario. https://cdn.kastatic.org/ka-youtube-converted/0hosfNzefyM.mp4/0hosfNzefyM.mp4 388 Probability using Combinatorics https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:probability-using-combinatorics/e/probability-using-combinatorics-challenge 2025-08-08T02:53:40.009522544Z Probability using combinatorics Probability using combinatorics Ashish Gupta exercise