
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
Roll a die twice in succession and observe the numbers facing up. Calculate the probability of the following events:

(1) The sum of the two numbers is a multiple of 3;

(2) The sum of the two numbers is a prime number;

(3) The number obtained from the second roll is greater than the number obtained from the first roll.

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