
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
Select a number from \\(1\\), \\(2\\), \\(3\\), \\(4\\), \\(5\\), \\(6\\), \\(7\\), and calculate the probability of the following events:

\\((1)\\) The selected number is greater than \\(3\\);

\\((2)\\) The selected number is divisible by \\(3\\);

\\((3)\\) The selected number is greater than \\(3\\) or divisible by \\(3\\).

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