
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
Given two sets, A={(x, y)|y≥|x-1|} and B={(x, y)|y≤-|x|+5}, and two dice rolled in succession, with the first roll resulting in 'a' and the second roll resulting in 'b', calculate the probability that (a, b) belongs to the intersection of sets A and B.

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