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 00:43 Getting to know the teacher 01:12 What we will discuss in class 01:36 Where to get the conditions of the problems 02:25 Lesson plan 02:46 Learning to ask questions correctly 03:09 What options have we already analyzed 04:37 Problem 11 joint events 06:20 Knowledge required to solve complex probability theory 07:23 Problem 11 solution using the geometric method 12:04 Answers to questions on problem 11 13:08 Checklist on the theory for complex probability theory 16:21 Problem 13 first solution method 17:25 Rounding in the problems of the first part 18:20 Problem 13 classical solution method 20:43 Problem 13 third solution method 24:45 Answers to questions on problem 13 26:26 Problem 15 discussing the condition 27:48 Problem 15 joint events and opposite events 31:05 Answers to questions on problem 15 34:52 Problem 17 discussing the condition 36:12 Independent and disjoint events 37:24 Problem 17 dice and the sum of the dropped points 38:36 Course schedule for December 39:20 How to get a discount on tuition 41:19 Problem 17 independent and disjoint events 48:04 Answers to questions on problem 17 53:27 Problem 19 independent and disjoint events 58:36 Answers to questions on problem 19 1:02:22 Problem 20 problem about chess players 1:11:11 Answers to questions on problem 20 1:16:15 Problem 21 independent and disjoint events 1:21:20 Plausibility of answers 1:24:40 Answers to questions on problem 21 1:27:26 Formation of a safety margin and freedom of choice 1:28:13 Problem 23 Two coffee machines, joint events 1:37:08 Answers to questions on Problem 23 1:43:28 Problem 25 Shooting at targets 1:46:22 Problem 27 Conditional probability 1:52:33 Problem 27* Changing the problem condition 1:55:03 Is the Bernoulli scheme needed for the Unified State Exam 1:56:10 Answers to questions on Problem 27 1:57:33 Problem 29 Conditional probability 2:05:21 Answers to questions on Problem 29 2:14:14 Schedule for December 2:15:07 Promo codes for courses 2:16:08 Problem 31 Opposite and independent events 1:18:59 Answers to questions on Problem 31 2:22:38 Problem 33 Agrofirm and chicken eggs 2:27:20 Answers to questions on task 33 2:31:26 Task on combinatorics 2:34:49 Task 34 defect in ceramic dishes 2:39:54 Answers to questions on task 34 2:43:50 Task 35 independent events 2:49:21 Answers to questions on task 35 2:50:09 Task 36 independent events 2:55:06 When to start preparing for the Unified State Exam 2:55:08 How to get the most out of the course 2:59:58 How to receive web announcements 3:00:26 Answers to questions and summing up the lesson #egee2024 #probabilitytheory #yashchenko USE 2024 USE in mathematics Profile USE Yashchenko FIPI Typical examination options 36 options Preparation for the profile Unified State Exam in Mathematics Problem 5 First part Probability theory Complex problems in probability theory Favorable outcomes Unfavorable outcomes Opposite events Independent events Incompatible events Joint events Conditional probability Combinatorics Bernoulli's formula Problem about the mass of a loaf of bread Problem about a football referee and a coin Problem about two batteries Problem about a dice that is thrown several times Problem about a football team that goes to the next round Problem about two chess players Problem about two factories and car glass Problem about two coffee machines Problem about a biathlete and targets Problem about a class and three girlfriends Problem about tourists and a helicopter Problem about a room and three lamps Problem about an agricultural firm and chicken eggs Problem about a ceramics factory Problem about shooting until you hit