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Summer school and annual courses for the Unified State Exam 2025 with a mathematician from Moscow State University: https://3.shkolkovo.online/math-msu My Telegram channel: https://t.me/mathmsu Materials for the intensive course SIROP are here: https://mnlp.cc/mini?domain=mathmsu&i... If you are in the 10th grade, then this is where you should go: https://t.me/+yeAlGTQAn5E0ZmZi Everything about DWI MSU is here: https://t.me/+hNmZJa59rY9hMjli VK group: https://vk.com/hitman_math Tik-Tok: / hitman_math My Instagram: / andreypavlikov_math Time codes: 00:00 Greeting and connection check 00:31 What will happen in class 01:48 Terms of participation in the drawing and prizes 03:39 Restart and Beefsteak 04:28 Lesson plan 07:12 Certain, impossible and random events 09:13 Favorable and unfavorable outcomes 09:55 Classical definition of probability 11:38 Problem 1 pumps 13:55 Problem 2 order of speeches 16:27 Problem 3 order of speeches 20:04 Problem 4 factory produces bags 23:45 Rounding rules 25:38 Problem 5 game pairs 29:39 Problem 6 collection of tickets 32:45 Problem 7 collection of tickets 35:18 Problem 8 seating in classrooms 37:56 Problem 9 two friends in one group 46:13 Problem 10 group of tourists 48:12 Problem 11 breakdown of mechanical watch 55:22 Problem 12 factory produces bags 1:00:58 Rounding to hundredths and to thousandths 1:04:51 Problem 13 scientific conference 1:07:21 Problem 14 heads will not come up even once 1:09:40 Problem 15 heads will come up exactly once 1:10:10 Problem 16 heads will come up both times 1:11:19 Problem 17 tails will come up all three times 1:14:45 Problem 18 tails came up more times than heads 1:16:02 Problem 19 number of heads less than two 1:17:37 Problem 20 even number of heads 1:19:51 Problem 21 equal number of heads and tails 1:22:00 Problem 22 heads and tails alternate 1:24:00 Terms of participation in the drawing and prizes 1:24:48 Problem 23 ten tails will come up 1:25:55 How dice work 1:26:55 Restarting the course 1:29:07 Problem 24 The sum of the points rolled is 7 1:32:20 Problem 25 The sum of the points rolled is 5 or 6 1:35:27 Problem 26 The product of the points rolled 1:39:51 Problem 27 The difference of the points rolled 1:43:26 Problem 28 An even product of the points 1:46:08 Answers to questions 1:48:15 Rules of the draw and prizes 1:52:01 Conducting the draw 1:53:24 Results of the draw 1:56:50 Answers to questions and summing up the lesson #egee2024 #stereometry #mathematics Profile USE USE Problem 4 Classical probability theory Random outcome Certain event Impossible event Random event Definition of probability random event Tossing a coin Tossing a dice Tossing a dice Drawing lots Equally probable outcomes Problem about coins Problem about dice Problem about pumps Problem about athletes Problem about classmates Problem about bags Problem about tennis players Problem about tickets for an exam Problem about auditoriums Problem about tourists Problem about a broken watch Problem about a conference Problem about a competition of performers Problem about a taxi