Chapter 6, 7 and 8 all deal with probability, but they cover slightly different types of outcomes. I’ll explain in simple terms how you can identify when the techniques used in Chapter 6 are appropriate for solving an exam question.
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The simplest questions in this chapter include frequencies of outcomes. I’ll show you how you can calculate every type of probability introduced in this chapter (joint, marginal, conditional, etc) with one simple formula – as long as you have frequencies to work with!
In this video I come back to the same data as in the last question, but this time I've replaced the given frequencies with joint and marginal probabilities. This has a drastic affect on our approach to solving the exact same questions. You'll see though, that by following the wording to the proper formulas, we will come to the same answers that we originally calculated.
Solving probability problems when no table is given can be extremely challenging. I'll show you a very simple set of steps to get you through questions with even the most complex wording - and get the right answer as efficiently as possible.
To really master this chapter, you'll need to know which wording to look for in the questions. Understanding the difference between join and conditional probabilities is especially key. I'll show you how.
The formula presented in the textbook for Bayes' theorem is pretty nasty looking. My advice - forget about it! I'll show you an easier (and equally valid) method that will get you full marks on the exam.
One of the most common presentations of Bayes' law on the exam comes in the form of the false-positive and false-negative results that occur with medical testing. Understanding this one question will prepare you for all of the different components that make up Chapter 6.
Check out the crazy Chapter 6 question that students in a previous year were expected to solve - and see the answer too!
Test your understanding of Chapter 6: Probability - each question is accompanied by a mini-video lecture showing you how I decided which solution was the correct one.