You are classifying emails as legitimate or spam and in doing so you would like to estimate the probability that a new email e containing the keywords $($w$1,$ w$2,...,$ wn $)$ is spam by taking all the emails in the training set with those keywords. the probability is calculated as:

a$.$ Explain why the plan may not work.

b$.$ Describe the data sets for which this plan might work.

c$.$ Using Naive Bayes assumption, explain how to get the probability of an email being spam? Show it mathematically.

d$.$ How does Naive Bayes assumption caters the problem$$with$$your$$plan$?$