https://www.khanacademy.org/math/class-12-tg/x6469e28db15923ec:probability/x6469e28db15923ec:independent-and-dependent-events-conditional-probability-multiplication-theorem-and-baye-s-theorem-part-1/v/conditional-probability-using-combinatorics 2025-06-01T14:50:00.385158177Z Conditional probability using combinatorics This video demonstrates how to use combinatorics (combinations) to solve conditional probability problems. We'll work through an example where a committee of 4 students is selected from a group of 8 boys and 4 girls. Given that there is at least one girl on the committee, we will calculate the probability that there are exactly 2 girls on the committee using the conditional probability formula and combinations to find the probabilities of the relevant events. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Conditional probability using combinatorics This video demonstrates how to use combinatorics (combinations) to solve conditional probability problems. We'll work through an example where a committee of 4 students is selected from a group of 8 boys and 4 girls. Given that there is at least one girl on the committee, we will calculate the probability that there are exactly 2 girls on the committee using the conditional probability formula and combinations to find the probabilities of the relevant events. https://cdn.kastatic.org/ka-youtube-converted/Eek402g9kfA.mp4/Eek402g9kfA.mp4 296 Applications of conditional probability https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:probability-ncert-new/x6f66cbee9a2f805b:applications-of-conditional-probability/e/conditional-probability-using-combinatorics 2025-08-08T02:45:51.78671331Z Conditional probability using combinatorics Conditional probability using combinatorics Ashish Gupta exercise https://www.khanacademy.org/math/class-12-tg/x6469e28db15923ec:probability/x6469e28db15923ec:independent-and-dependent-events-conditional-probability-multiplication-theorem-and-baye-s-theorem-part-1/v/conditional-probability-two-children-problem 2025-06-01T14:50:00.385158177Z Conditional probability - two children problem In this video, we analyze the classic ""two children problem"" using conditional probability, assuming each child is equally likely to be a boy or a girl. We'll determine the conditional probability that both children are girls given that: (i) the youngest child is a girl, and (ii) at least one of the children is a girl. We'll list the sample space and identify the relevant events to apply the conditional probability formula. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Conditional probability - two children problem In this video, we analyze the classic ""two children problem"" using conditional probability, assuming each child is equally likely to be a boy or a girl. We'll determine the conditional probability that both children are girls given that: (i) the youngest child is a girl, and (ii) at least one of the children is a girl. We'll list the sample space and identify the relevant events to apply the conditional probability formula. https://cdn.kastatic.org/ka-youtube-converted/ZcqoMojpfLQ.mp4/ZcqoMojpfLQ.mp4 296 Applications of conditional probability https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:probability-ncert-new/x6f66cbee9a2f805b:applications-of-conditional-probability/v/elementary-events-are-not-equally-likely 2025-06-01T14:50:00.385158177Z Elementary events are not equally likely In this video, we tackle conditional probability problems where the elementary events in the sample space are not equally likely. We'll analyze experiments like tossing a coin, where subsequent actions (like tossing again or throwing a die) depend on the outcome, leading to varied probabilities for final outcomes. We will calculate conditional probabilities such as the die showing a number greater than 4 given there is at least one tail. Another example involves throwing a die with follow-up actions based on whether a multiple of 3 appears. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Elementary events are not equally likely In this video, we tackle conditional probability problems where the elementary events in the sample space are not equally likely. We'll analyze experiments like tossing a coin, where subsequent actions (like tossing again or throwing a die) depend on the outcome, leading to varied probabilities for final outcomes. We will calculate conditional probabilities such as the die showing a number greater than 4 given there is at least one tail. Another example involves throwing a die with follow-up actions based on whether a multiple of 3 appears. https://cdn.kastatic.org/ka-youtube-converted/cBuAqsQaY_g.mp4/cBuAqsQaY_g.mp4 468 Applications of conditional probability https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:probability-ncert-new/x6f66cbee9a2f805b:applications-of-conditional-probability/e/elementary-events-are-not-equally-likely 2025-08-08T02:45:51.78671331Z Elementary events are not equally likely Elementary events are not equally likely Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:probability-ncert-new/x6f66cbee9a2f805b:applications-of-conditional-probability/v/complementary-events-and-conditional-probability 2025-06-01T14:50:00.385158177Z Complementary events and conditional probability This video focuses on solving probability problems that involve complementary events (like 'not A' or 'not B') in the context of conditional probability. We'll work through several examples that require using formulas for unions, intersections, and conditional probabilities to find values like P(B complement intersect A) or P(A complement intersect B complement). Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Complementary events and conditional probability This video focuses on solving probability problems that involve complementary events (like 'not A' or 'not B') in the context of conditional probability. We'll work through several examples that require using formulas for unions, intersections, and conditional probabilities to find values like P(B complement intersect A) or P(A complement intersect B complement). https://cdn.kastatic.org/ka-youtube-converted/3J0KXN9q3z8.mp4/3J0KXN9q3z8.mp4 473 Applications of conditional probability https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:probability-ncert-new/x6f66cbee9a2f805b:applications-of-conditional-probability/e/complementary-events-and-conditional-probability 2025-08-08T02:45:51.78671331Z Complementary events and conditional probability Complementary events and conditional probability Ashish Gupta exercise