Скачать или смотреть Basic Counting and Probability | Probability and Statistics | NJ Wildberger

We review some basic counting techniques and results that occur frequently when we study probabilities: the number of words of length k possible from n letters, with repetitions allowed or not allowed, and the number of ordered or unordered subsets of size k from n objects. Here the binomial coefficients are naturally involved.

Then we introduce basic examples involving probabilities: rolling dice, flipping coins, getting dealt poker hands etc. We find the probability that a given number of people share a birthday. Calculating probabilities often naturally involved questions of counting. We also explain the connections between probability and odds: an important understanding for gambling/horse racing/lotteries and games of chance.

Video Contents:
00:00 Basic counting and probability
10:51 Fundamental definitions for probability
19:26 Rules for probabilities
32:26 What is the probability of getting at least one pair from of a 5 card hand?
38:07 What's the probability that two people out of ten share a birthday?
42:46 Odds

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Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.

My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...

My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.

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Here are the Insights into Mathematics Playlists:

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Here are the Wild Egg Maths Playlists (some available only to Members!)

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