CO11 Counting Basics: Multiplication Principle & Probability скачать в хорошем качестве

CO11 Counting Basics: Multiplication Principle & Probability

What is the #probability of getting a six if you roll 3 dice? If you randomly pick a 5 digit number, what is the probability that you will get an odd number with distinct digits? What about an odd number that among its digits is exactly one 4? After explaining the multiplication principle for counting, and briefly defining experiments, sample space, event, and probability, we answer the above questions (and a few others).#combinatorics Subscribe ‪@Shahriari‬ for math videos for college students. 00:00 Introduction 00:39 The Multiplication Principle 01:43 The Multiplication Principle visually 02:03 Example: Counting BC License plates for Consular Officials 03:30 Intuitive Definition of Probability 04:23 Experiment, Sample Space, Event, Probability 05:24 Example: Probability of an even number of heads in 3 tosses of a coin 07:09 Example: Probability of 1 six if you roll 3 dice 07:56 Example: Probability of 3 sixes if you roll 3 dice 08:19 Example: Probability of an odd number with all distinct digits from among all 5 digit numbers 11:44 Example: Probability of an odd number with exactly one 4 from among all 5 digit numbers Part of a series of lectures on introductory Combinatorics. This full course is based on my book Shahriar Shahriari, An Invitation to Combinatorics, Cambridge University Press, 2022. DOI: https://doi.org/10.1017/9781108568708 For an annotated list of available videos for Combinatorics see https://pomona.box.com/s/by2ay2872avx... YouTube Playlist:    • Combinatorics, An Invitation   Shahriar Shahriari is the William Polk Russell Professor of Mathematics at Pomona College in Claremont, CA USA Shahriari is a 2015 winner of the Mathematical Association of America's Haimo Award for Distinguished Teaching of Mathematics, and six time winner of Pomona College's Wig teaching award.