How to check given two random variables are independent. Why it is important for Naive Bayes classification.

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To check if two random variables are independent and its importance in Naive Bayes classification.

Check if the joint probability of the two variables is equal to the product of their marginal probabilities.
If the joint probability is not equal to the product of the marginal probabilities, then the variables are dependent.
Independence assumption is important in Naive Bayes classification as it simplifies the calculation of conditional probabilities.
Naive Bayes assumes that the features are independent given the class label, hence the name 'naive'.

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