
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 fair six-sided die is rolled twice, and the upward facing numbers are observed.
(1) Find the probability that the sum of the numbers is 6.
(2) Find the probability that the product of the two numbers is not a multiple of 4.

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