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The Binomial Distribution | Mathematical Methods | MaffsGuru.com ** This video looks at the Binomial Distribution and how we can use it to find more complex probabilities. Starting with a recap of the last video, I then look at how we can use a simple formula (using combinatorics) to find individual probabilities for discrete random variables. I show how to do this using "by hand" and CAS methods. There are a number of worked examples which help me frame the theory. I also look at one of the more complex examples where you need to find the number of trials needed given an overall probability and a probability of success. These questions seem to appear on VCAA papers quite regularly. This video is part of the Year 11 (VCE Units 1 and 2) Mathematical Methods course. ** 00:11 Welcome 00:33 Learning objectives 00:55 Recap of Past Learning 01:09 RECAP: With and without replacement 02:00 An easier way to find the individual probabilities 06:46 RECAP: A brief reminder of combinatorics 08:01 An easy formula! 09:42 Example 1 12:20 Example 1: Using the CAS (Binomial Pdf function) 13:30 Example 2 16:15 Seeing what a Binomial Distribution looks like 19:18 Example 3: Finding the number of trials for a given probability 23:42 Using the CAS to check 24:19 The CAS makes this so much easier! 25:51 Example 2a 27:16 Example 2b 29:06 Learning objective: Revisited This maths video has been created for courses which are delivered in Australia but, as Maths is a constant, it is equally helpful for students in the USA, UK and other countries who are looking for good maths videos for both high school and middle school.