Given a database table containing weather data as follows:
|
Outlook
|
Temperature
|
Humidity
|
Windy
|
Class: Play
|
|
Sunny
|
Hot
|
High
|
False
|
No
|
|
Sunny
|
Hot
|
High
|
True
|
No
|
|
Overcast
|
Hot
|
High
|
False
|
Yes
|
|
Rainy
|
Mild
|
High
|
False
|
Yes
|
|
Rainy
|
Cool
|
Normal
|
False
|
Yes
|
|
Rainy
|
Cool
|
Normal
|
True
|
No
|
|
Overcast
|
Cool
|
Normal
|
True
|
Yes
|
|
Sunny
|
Mild
|
High
|
False
|
No
|
|
Sunny
|
Cool
|
Normal
|
False
|
Yes
|
|
Rainy
|
Mild
|
Normal
|
False
|
Yes
|
|
Sunny
|
Mild
|
Normal
|
True
|
Yes
|
|
Overcast
|
Mild
|
High
|
True
|
Yes
|
|
Overcast
|
Hot
|
Normal
|
False
|
Yes
|
|
Rainy
|
Mild
|
High
|
True
|
No
|
Where Outlook, Temperature, Humidity, and Windy are the input variables (predictors), and Play is the output variable (response or outcome).
For the given sample, X = (Outlook = 'Sunny', Temperature = 'Mild' , Humidity = 'High' , Windy = 'False')
Please compute the conditional probability P(X|PLAY='No') * P(PLAY='No') . (* is the multiplication)
Please give keep 3 digits after decimal, for example. 0.521.