$(10$ Marks$)$ Consider the following table, where "play" is the decision attribute $($i$.$e$.,$ class$)$:

$\backslash$table$[[$outlook$,$temperature,humidity,windy,play$],[$sunny$,$hot,high,false,no$],[$sunny$,$hot,high,true,no$],[$sunny$,$mild,high,false,no$],[$rainy$,$mild,high,true,no$],[$rainy$,$cool,normal,true,no$],[$sunny$,$cool,normal,false,yes$],[$sunny$,$mild,normal,true,yes$],[$overcast$,$hot,high,false,yes$],[$overcast$,$hot,normal,false,yes$],[$overcast$,$mild,high,true,yes$],[$overcast$,$cool,normal,true,yes$],[$rainy$,$mild,high,false,yes$],[$rainy$,$mild,normal,false,yes$],[$rainy$,$cool,normal,false,yes$]]$

$($a$)$ Use ID$3$ to learn a decision tree. Give the detailed steps.

$($b$)$ Give all decision rules from the decision tree.