
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
Xiao Zhang has 4 VCD discs and 3 DVD discs, while Xiao Wang has 2 VCD discs and 1 DVD disc. All 10 discs are different. Now, Xiao Zhang and Xiao Wang each take one disc and exchange with each other. Calculate the probability that Xiao Zhang ends up with exactly 4 VCD discs.

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