
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
On a plate, there are various pancakes with three different fillings: 2 with meat, 3 with cottage cheese, and 5 with strawberries. Sveta consecutively ate all of them, choosing each next pancake at random. Find the probability that the first and the last pancakes she ate had the same filling.

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