
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
A company's recruitment test consists of three different type 4 basic questions numbered \\(1\\), \\(2\\), and \\(3\\) along with one type \\(A\\) additional question. There are also two different type \\(B\\) basic questions numbered \\(4\\) and \\(5\\) along with one type \\(B\\) additional question. Person A randomly draws two questions from these five basic questions once, and the probability of each question being drawn and answered correctly or incorrectly is equal.
\\((I)\\) Use the symbol \\((x,y)\\) to represent the event "the two drawn questions are numbered \\(x\\) and \\(y\\), with \\(x < y\\)". How many basic events are there? Please list them;
\\((II)\\) Calculate the probability that the sum of the numbers of the two basic questions drawn by A is less than \\(8\\) but not less than \\(4\\).

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