CO11 Counting Basics: Multiplication Principle & Probability

Описание: 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 five time winner of Pomona College's Wig teaching award.