https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:addition-rule-prob-precalc/v/probability-with-playing-cards-and-venn-diagrams 2023-04-15T06:53:33.172253602Z Probability with Venn diagrams Want to learn some probability? This video explains the probability of drawing a Jack or a Heart from a deck of 52 cards. It uses a Venn diagram to illustrate the concept of overlapping events and how to calculate the combined probability. Key definitions include "equally likely events" and "overlapping events". Sal Khan video https://cdn.kastatic.org/googleusercontent/Z0TuLq2KolavsrfDXSbLqi0S-wnlCrC13cKGG68wK9ljrTiXzRqvfq7IpWNzcwgzlpEOI8YmMafp4K4zO0sanvXu Probability with Venn diagrams Want to learn some probability? This video explains the probability of drawing a Jack or a Heart from a deck of 52 cards. It uses a Venn diagram to illustrate the concept of overlapping events and how to calculate the combined probability. Key definitions include "equally likely events" and "overlapping events". https://cdn.kastatic.org/ka-youtube-converted/obZzOq_wSCg.mp4/obZzOq_wSCg.mp4 602 Probability of compound events https://www.khanacademy.org/math/statistics-probability/probability-library/multiplication-rule-dependent/v/independent-events-1 2021-05-19T21:45:24Z Independent & dependent probability This time around we're not going to tell you whether we're working on a dependent or independent probability event problem. You tell us! Sal Khan video https://cdn.kastatic.org/googleusercontent/H4xO9_buopunL7VGOca9o2oSfBtxSSk_xpeSU-D0u-GONjPQCy7GY36xzDXPiIvdvMM69NBCyOVKgTHttafcaEs Independent & dependent probability This time around we're not going to tell you whether we're working on a dependent or independent probability event problem. You tell us! https://cdn.kastatic.org/ka-youtube-converted/Za7G_eWKiF4.mp4/Za7G_eWKiF4.mp4 159 Probability of compound events https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:compound-probability-of-ind-events-using-mult-rule/v/introduction-to-dependent-probability 2021-07-01T17:39:50Z Dependent probability introduction Let's get you started with a great explanation of dependent probability using a scenario involving a casino game. Sal Khan video https://cdn.kastatic.org/googleusercontent/XZe8ECJLHJW98AgXE5te2kLXlmb1nZx9lAGUT9wWpOEKBoogYPeLIqLDnwkrWnDZ-rydfl-Pf5PuZZgb4ectsZiF Dependent probability introduction Let's get you started with a great explanation of dependent probability using a scenario involving a casino game. https://cdn.kastatic.org/ka-youtube-converted/VjLEoo3hIoM.mp4/VjLEoo3hIoM.mp4 398 Probability of compound events https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:compound-probability-of-ind-events-using-mult-rule/v/compound-probability-of-independent-events 2023-04-15T06:53:33.172253602Z Compound probability of independent events Learn how to calculate probabilities of coin flips using two methods: listing all possible outcomes or multiplying independent events. Understand what independent events are and how to avoid the gambler's fallacy. Review fractions and how the sum of all probabilities equals one. Sal Khan video https://cdn.kastatic.org/googleusercontent/U9uGqrrUK5Me3KOS3D8ICYUOL4Ko9Z7M0Ai7bLg_CNZVz3Zg1mVQ3qJliUifwuLpv6C6oi_wGUnbfE1P7Vdwc6Rg Compound probability of independent events Learn how to calculate probabilities of coin flips using two methods: listing all possible outcomes or multiplying independent events. Understand what independent events are and how to avoid the gambler's fallacy. Review fractions and how the sum of all probabilities equals one. https://cdn.kastatic.org/ka-youtube-converted/xSc4oLA9e8o.mp4/xSc4oLA9e8o.mp4 360 Probability of compound events https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:compound-probability-of-ind-events-using-mult-rule/v/independent-events-2 2021-07-01T17:39:51Z Independent events example: test taking Have you ever taken a test and discovered you have no choice but to guess on a couple of problems? In this example problem, we are considering the probability of two independent events occurring. Sal Khan video https://cdn.kastatic.org/googleusercontent/yenbmoo4Av9R4p2biWUvxRjFq_WvZCkw0h37aT3Bs80AKh76ZA8rqaNTK3319ySkiFT-1XROwmyjqrWcaTpKWOnE Independent events example: test taking Have you ever taken a test and discovered you have no choice but to guess on a couple of problems? In this example problem, we are considering the probability of two independent events occurring. https://cdn.kastatic.org/ka-youtube-converted/VWAfEbgf1Po.mp4/VWAfEbgf1Po.mp4 284 Probability of compound events https://www.khanacademy.org/math/statistics-probability/probability-library/multiplication-rule-independent/v/lebron-asks-about-the-chances-of-making-10-free-throws 2021-05-19T21:45:21Z Free-throw probability Our friend and Cleveland Cavalier, LeBron James, asks Sal how to determine the probability of making 10 free throws in a row. Hint: the answer is surprising! Sal Khan video https://cdn.kastatic.org/googleusercontent/B2I1hyhcrwmAP49Qq_1KOJKgyWZPsZ3m-FprQdqqqECbunqZpPo9dQtR7ZlMF6lezhIgiwjM7RoYUGV2Ox-uEFtzLw Free-throw probability Our friend and Cleveland Cavalier, LeBron James, asks Sal how to determine the probability of making 10 free throws in a row. Hint: the answer is surprising! https://cdn.kastatic.org/ka-youtube-converted/iMqCSgqzmiQ.mp4/iMqCSgqzmiQ.mp4 425 Probability of compound events https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/e/compound-events 2026-04-07T23:36:17.218592739Z Probabilities of compound events Practice using sample space diagrams to find probabilities of independent compound events. Justin Helps exercise https://www.khanacademy.org/math/statistics-probability/probability-library/multiplication-rule-independent/e/independent_probability 2025-04-08T07:26:09.960930891Z Independent probability Find probabilities of independent events like flipping a heads and rolling an even number! Ben Eater exercise https://www.khanacademy.org/math/statistics-probability/probability-library/multiplication-rule-dependent/v/dependent-probability-example-1 2021-05-19T21:45:21Z Dependent probability: coins We're thinking about how the probability of an event can be dependent on another event occuring in this example problem. Sal Khan video https://cdn.kastatic.org/googleusercontent/oKOrXjF3-Zum03-8ZAw4RwVDpmixdE0B_jdzAscwyvInjKQ9Fga7u4MijLT2dXKe7d9YwP9Ph_I1SbZri9AkQxo Dependent probability: coins We're thinking about how the probability of an event can be dependent on another event occuring in this example problem. https://cdn.kastatic.org/ka-youtube-converted/xPUm5SUVzTE.mp4/xPUm5SUVzTE.mp4 541 Probability of compound events https://www.khanacademy.org/math/statistics-probability/probability-library/multiplication-rule-dependent/e/dependent_probability 2025-05-05T08:14:25.350149109Z Dependent probability Find dependent probabilities like P(A | B) or P(B | A) for a variety of contexts. Omar Rizwan exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:addition-rule-prob-precalc/v/addition-rule-for-probability 2021-07-01T17:39:46Z Addition rule for probability Venn diagrams and the addition rule for probability Sal Khan video https://cdn.kastatic.org/googleusercontent/Bf6MZCeyotuvNzQ7zcv1XGuUDq3NjdIaP_dLZudyn_q7YhjU8t-GoNKQM_dtArCQk9WHBF6jU1uz_9bhYhbkKF8XnQ Addition rule for probability Venn diagrams and the addition rule for probability https://cdn.kastatic.org/ka-youtube-converted/QE2uR6Z-NcU.mp4/QE2uR6Z-NcU.mp4 643 Probability of compound events https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:addition-rule-prob-precalc/a/addition-rule-for-probability-basic 2026-03-06T16:30:33.181933133Z Addition rule for probability (basic) article