5 Two fair twelve-sided dice with sides marked \(1,2,3,4,5,6,7,8,9,10,11,12\) are thrown, and the numbers on the sides which land face down are noted. Events \(Q\) and \(R\) are defined as follows.
\(Q\) : the product of the two numbers is 24 .
\(R\) : both of the numbers are greater than 8 .

1. Find \(\mathrm { P } ( Q )\).
2. Find \(\mathrm { P } ( R )\).
3. Are events \(Q\) and \(R\) exclusive? Justify your answer.
4. Are events \(Q\) and \(R\) independent? Justify your answer.