
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
Throwing a red and a blue die, let event \\(A\\) be "the number on the blue die is \\(3\\) or \\(6\\)," and event \\(B\\) be "the sum of the numbers on the two dice is greater than \\(8\\)." When it is known that the number on the blue die is \\(3\\) or \\(6\\), the probability that the sum of the numbers on the two dice is greater than \\(8\\) is ______.

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