
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 dice are thrown. Calculate the following probabilities:

(1) The event "the number of points on both dice is the same".
(2) The event "the sum of points is less than 7".
(3) The event "the sum of points is equal to or greater than 11".

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