
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 cards are chosen, without replacement, from a deck of 50 cards numbered \(1,2,3, \ldots, 50\). What is the probability that the product of the numbers on these cards is divisible by 7?

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