A white die and a red die are tossed. Both dice are perfectly balanced. Letw and r denote the numbers appearing of the top face on the white and reddie, respectively.

What is the probability that \(w = r\)? (Round your answer to 3 decimal places)

What is the probability that \( w \lt r \)? (Round your answer to 3 decimal places)

What is the probability that \(w = 3\) given that \(w \lt r\)?

Are the events \(w = 3\) and \(w \lt r\) dependent or independent?

Are the events \(w = 3\) and \(w eq r\) dependent or independent?