## Question

Consider a dataset for binary classification problem with class labels . The features are given by and . Each of these features have 2 values as given below. Apply Naive Bayes classifier by computing the probabilities to classify the example: .

## Solution

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We know that,

Let’s find the conditional probabilities of given that the class is .

Let’s find the conditional probabilities of given that the class is .

According to Naive Bayes Classification Rule:

In order to classify the given example, we need to find the probability that if falls in either class.

Probability that is in:

* Thus, it is equally probable that the given sample falls in either class or . *