https://www.khanacademy.org/math/statistics-probability/probability-library/conditional-probability-independence/v/conditional-probability2 2021-03-22T14:52:38Z Conditional probability explained visually video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Conditional probability explained visually https://cdn.kastatic.org/ka-youtube-converted/KqCKZwh5WY8.mp4/KqCKZwh5WY8.mp4 306 Solving problems involving conditional probabilities https://www.khanacademy.org/math/statistics-probability/probability-library/conditional-probability-independence/v/calculating-conditional-probability 2022-11-16T04:22:43.7414897Z Calculating conditional probability Conditional probabilities are written like P(A|B), which can be read to mean, "the probability that A happens GIVEN b has happened." If we know probabilities like P(A), P(B), and P(A|B), we can solve for other probabilties like P(B|A). Sal Khan video https://cdn.kastatic.org/googleusercontent/icNxh7ggi3DmCUxzMfNAGbHxUw6EcG7BMKtpv9HYskR_6qSj1-UluDkv_-s2F2dKycSUsAA1CVOk5H7LOa9rHOs Calculating conditional probability Conditional probabilities are written like P(A|B), which can be read to mean, "the probability that A happens GIVEN b has happened." If we know probabilities like P(A), P(B), and P(A|B), we can solve for other probabilties like P(B|A). https://cdn.kastatic.org/ka-youtube-converted/6xPkG2pA-TU.mp4/6xPkG2pA-TU.mp4 403 Solving problems involving conditional probabilities 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 Solving problems involving conditional probabilities 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 Solving problems involving conditional probabilities 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 Solving problems involving conditional probabilities https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/a/conditional-probability-using-two-way-tables 2021-07-01T17:39:49Z Conditional probability using two-way tables article https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/e/calculating-conditional-probability 2025-05-05T08:14:25.350149109Z Calculate conditional probability Practice calculating conditional probability, that is, the probability that one event occurs given that another event has also occurred. Jeff Dodds exercise 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/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