
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
Numbers from 1 to 6 are written on the faces of a gaming die. However, the weight of the die is distributed unevenly, and the probability of landing on number $k$ is directly proportional to $k$. The die is rolled two times in a row. What is the probability that the sum of the rolled numbers will be 7? If necessary, round the answer to two decimal places.

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