This book is a discussion about the Bayes' Theorem. The first part of the book helps you understand what Bayes' Theorem is and the areas in which it can be applied. The derivation of Bayes' Theorem is also discussed, so you will know the various steps it takes for you to derive Bayes' Theorem. Some basic examples are then given to help you understand how you can solve them by use of Bayes' Theorem. These examples have been picked from a wide range of areas, and they are all based on the concept of conditional probability. This is a situation in which you are given the evidence and you are expected to calculate or determine the probability of a certain event occurring, or in other words, if an event A has occurred, what is the probability that event B will occur. The application of Bayes' Theorem in drug and medical tests is then discussed in detail. You will learn how to determine the probability of individuals being users of a certain drug or non-users of that drug. You will also learn how to determine the probability of individuals having certain conditions. The book also discusses the application of Bayes' Theorem when you are rolling dice. You will learn how to apply this Theorem to determine the probability of getting Heads and Tails. The book also helps you in determining if a coin toss is fair or not based on the outcome after it has occurred.
Here is a preview of what you'll learn:
- What is Bayes Theorem?- Basic Examples- Drug and Medical Tests- Dice and Rolls- Is the Coin Fair