
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
Objects $C$ and $D$ move simultaneously in the coordinate plane via a sequence of steps, each of length one. Object $C$ starts at $(0,0)$ and each of its steps is either right or up, both equally likely. Object $D$ starts at $(4,6)$ and each of its steps is either left or down, both equally likely. What is the closest to the probability that the objects meet?

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