
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
Simultaneously throw a red die and a blue die, observe the numbers facing up. Let the event "the number facing up on the red die is 1" be event A, and the event "the sum of the numbers on the two dice is 6" be event B. Determine the probability of event B occurring given that event A has occurred.

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