4 Tim throws a fair die twice and notes the number on each throw.
- Tim calculates his final score as follows. If the number on the second throw is a 5 he multiplies the two numbers together, and if the number on the second throw is not a 5 he adds the two numbers together. Find the probability that his final score is
(a) 12,
(b) 5 . - Events \(A , B , C\) are defined as follows.
\(A\) : the number on the second throw is 5
\(B\) : the sum of the numbers is 6
\(C\) : the product of the numbers is even
By calculation find which pairs, if any, of the events \(A , B\) and \(C\) are independent.