N2006 P2 Q23 [Modified]

Two fair dice, one red and the other green, are thrown.

\(A\) is the event: The score on the red die is divisible by \(3\).

\(B\) is the event: The sum of the two scores is \(9\).

1. Justifying your conclusion, determine whether \(A\) and \(B\) are independent.[2]
2. The experiment is repeated multiple times. How many times must the experiment be conducted, so that the probability that \(B\) occurs at least once exceeds \(0.98\)?[3]