
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
A student bought $7$ blind boxes, each containing a gift, with $4$ boxes containing small rabbits and $3$ boxes containing small dogs.  
$(1)$ Without replacement, two blind boxes are drawn in succession. Given that the first box contains a small rabbit, find the probability that the second box also contains a small rabbit.  
$(2)$ Without replacement, two blind boxes are drawn in succession. Find the probability that the second box contains a small dog.

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