
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, and denote each outcome as $(x_1, x_2)$, where $x_1$ and $x_2$ represent the numbers on the first and second dice, respectively. Let $A=\{(x_1, x_2) | x_1 + x_2 = 8\}$, $B=\{(x_1, x_2) | x_1 > x_2\}$. Calculate the value of $P(B|A)$.

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