
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
Given that Xiaoyu's mother bought $5$ types of fruits and $4$ types of meat products to make mooncakes, where each filling can only use two types of ingredients and fruit and meat cannot be mixed together, calculate the probability that she makes a mooncake with fruit filling.

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