https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:problems-on-probability/v/probability-through-sorting-a-list 2025-05-30T12:59:32.180778541Z Probability through sorting a list In this video, we explore how to calculate probabilities by analyzing a list of data. We'll work through several examples using a sample list of student details (age and city). We'll calculate the probability of events involving 'OR' and 'AND' conditions, such as a student being older than a certain age OR living in a specific city, or a student's age being a prime number AND them not living in certain cities. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability through sorting a list In this video, we explore how to calculate probabilities by analyzing a list of data. We'll work through several examples using a sample list of student details (age and city). We'll calculate the probability of events involving 'OR' and 'AND' conditions, such as a student being older than a certain age OR living in a specific city, or a student's age being a prime number AND them not living in certain cities. https://cdn.kastatic.org/ka-youtube-converted/HgSTrfMheVo.mp4/HgSTrfMheVo.mp4 377 Problems on Probability https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:problems-on-probability/e/calculating-event-probabilities 2025-08-08T02:53:40.009522544Z Calculating Event Probabilities Calculating Event Probabilities Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:problems-on-probability/e/probability-with-data-tables 2025-08-08T02:53:40.009522544Z Probability with data tables Probability with data tables Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:problems-on-probability/v/probability-of-forming-numbers 2025-05-30T12:59:32.180778541Z Probability of forming numbers This video focuses on calculating probabilities related to forming numbers with specific conditions. We'll tackle problems like finding the probability of guessing a 4-digit lock combination with no repeating digits. We'll also determine the probability of forming an even 3-digit number using digits 1 through 5 without repetition, and the probability of forming an even 5-digit telephone number that starts with '67' and has no repeated digits. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability of forming numbers This video focuses on calculating probabilities related to forming numbers with specific conditions. We'll tackle problems like finding the probability of guessing a 4-digit lock combination with no repeating digits. We'll also determine the probability of forming an even 3-digit number using digits 1 through 5 without repetition, and the probability of forming an even 5-digit telephone number that starts with '67' and has no repeated digits. https://cdn.kastatic.org/ka-youtube-converted/7VyZgFqNSaQ.mp4/7VyZgFqNSaQ.mp4 265 Problems on Probability https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:problems-on-probability/v/probability-of-getting-a-sum-on-dice-rolls 2025-05-30T12:59:32.180778541Z Probability of getting a sum on dice rolls In this video, we calculate probabilities involving rolling a non-standard die twice. The die has two faces with '1', three faces with '2', and one face with '3'. We'll determine the probability of specific outcomes, such as getting a sum of 6, a sum of 4, getting at least one '3', getting at most one '3', and the probability that the second throw results in a higher number than the first. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability of getting a sum on dice rolls In this video, we calculate probabilities involving rolling a non-standard die twice. The die has two faces with '1', three faces with '2', and one face with '3'. We'll determine the probability of specific outcomes, such as getting a sum of 6, a sum of 4, getting at least one '3', getting at most one '3', and the probability that the second throw results in a higher number than the first. https://cdn.kastatic.org/ka-youtube-converted/ApBl8pb0xwM.mp4/ApBl8pb0xwM.mp4 370 Problems on Probability https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:problems-on-probability/e/probability-with-a-weighted-die 2025-08-08T02:53:40.009522544Z Probability with a Weighted Die Probability with a Weighted Die Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:probability-ncert-new/x0419e5b3b578592a:problems-on-probability/v/probability-of-union-of-three-events 2025-05-30T12:59:32.180778541Z Probability of union of three events This video explains the formula for the probability of the union of three events (A or B or C). We'll use a Venn diagram to visualize the different regions representing the events and their intersections. By carefully considering each section, we'll derive the general formula: P(A U B U C) = P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(C and A) + P(A and B and C). This illustrates the inclusion-exclusion principle for three events. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Probability of union of three events This video explains the formula for the probability of the union of three events (A or B or C). We'll use a Venn diagram to visualize the different regions representing the events and their intersections. By carefully considering each section, we'll derive the general formula: P(A U B U C) = P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(C and A) + P(A and B and C). This illustrates the inclusion-exclusion principle for three events. https://cdn.kastatic.org/ka-youtube-converted/Ikoblkv_wrY.mp4/Ikoblkv_wrY.mp4 268 Problems on Probability