QUESTION $1$

The following is hypothetical data for the classification of Massachusetts $($MA$)$ or Connecticut $($CT$).$ Compute the most likely class for test data. Assume a naive Bayes classifier and use add$-1$ smoothing for the likelihoods.

In the process of calculating and categorizing the test data, using the approximate value $($i$.$e$.,$ proportional to$),$ what is p$($MA$|$Test Data$)?$

$\backslash$table$[[,,$Classification$],[$Training Data,Hartford, Harford, Boston,CT$],[,$Massachusetts, Massachusetts, Boston,MA$],[,$Stamford, Bridgeport, Connecticut,CT$],[,$Boston, Boston, Springfield, Warwick,MA$],[$Test Data,Boston, Springfield, Waterbury,?