https://www.khanacademy.org/math/statistics-probability/random-variables-stats-library/random-variables-discrete/a/expected-value-basic 2021-04-29T07:58:49Z Expected value (basic) article https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:expected-value/v/interpreting-expected-value 2022-10-07T00:22:18.752150461Z Interpreting expected value We can interpret expected value as a long term average outcome. This example looks at expected value in the context of a lottery ticket. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/c9a67e32-50a8-4114-9a4a-d7b9016e48b1_1280_720_base.png Interpreting expected value We can interpret expected value as a long term average outcome. This example looks at expected value in the context of a lottery ticket. https://cdn.kastatic.org/ka-youtube-converted/SNIW7MmCdhA.mp4/SNIW7MmCdhA.mp4 174 Expected frequencies https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:expected-value/e/interpret-expected-value 2021-07-29T14:00:50.153398958Z Interpret expected value Practice interpreting what expected value does and doesn't tell us in a given context. exercise https://www.khanacademy.org/math/statistics-probability/designing-studies/sampling-methods-stats/v/probability-decisions 2021-02-07T17:14:01Z Picking fairly Sal determines if a few different methods of a magician choosing a volunteer are fair. Sal Khan video https://cdn.kastatic.org/googleusercontent/bgnTR8pU6Blpwwn1GN0EGaGrXiflFnPGP4mZ28nhqKvPtIJZZN5-F5qnMEehvHjmKJD5Ere9h_HvI81efHxtjHNJiQ Picking fairly Sal determines if a few different methods of a magician choosing a volunteer are fair. https://cdn.kastatic.org/ka-youtube-converted/vst006REeTQ.mp4/vst006REeTQ.mp4 419 Expected frequencies https://www.khanacademy.org/math/statistics-probability/designing-studies/sampling-methods-stats/e/using-probability-to-make-fair-decisions 2026-04-07T23:36:17.218592739Z Using probability to make fair decisions Determine if different methods are fair or unfair. Ben Cohen exercise