Based on the Table, compute the following:

(a) [5 points] p(Water = cool|Play = yes), p(Water = cool|Play = no)

(b) [5 points] p(Play = yes|Water = warm), p(Play = no|Water = warm)

(c) [5 points] p(Play = yes|Humid = high), p(Play = yes|Humid = normal)

(d) [5 points] p(Water = cool|Play = yes), p(Water = cool|Play = no) with Laplace smoothing

Sky sunny sunny rainy sunny Temp warm warm cold Humid normal high high high Wind strong strong strong strong Water Forecast warm same warm same warm change cool change Play? yes yes no yes warm Sky sunny sunny rainy sunny Temp warm warm cold Humid normal high high high Wind strong strong strong strong Water Forecast warm same warm same warm change cool change Play? yes yes no yes warm