
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Two cubic dice are thrown in succession, where \\(x\\) represents the number shown by the first die, and \\(y\\) represents the number shown by the second die.  
\\((1)\\) Find the probability that point \\(P(x,y)\\) lies on the line \\(y=x-1\\);  
\\((2)\\) Find the probability that point \\(P(x,y)\\) satisfies \\(y^{2} < 4x\\).

Present the answer in LaTex format: \boxed{Your answer}
user