
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
In an opaque box, there are four balls of the same size, labeled $1$, $2$, $3$, and $4$. Two balls are drawn from the box with replacement, and their labels are $x$ and $y$.

1. Find the probability of the event $x + y = 5$.
2. Find the probability of the event $2x + |x - y| = 6$.

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