Suppose you are given the following set of data with three Boolean input variables a$,$b$,$ and c$,$ and a single Boolean output variable K$.$

a b c k

$1011$

$1111$

$0110$

$1100$

$1010$

$0001$

$0001$

$0010$

assume we are using a naive Bayes classifier to predict the value of K from the values of the other variables.

According to the naive Bayes classifier, what is P $($K $=0|$a $=1$ b $=1)?$

Select one:

a$.$

$2/3$

b$.$

$0$

c$.$

$1/2$

d$.$

$1$