
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
There are 5 dumplings each of meat filling, three delicacies filling, and mushroom filling in a pot. The appearance of these three kinds of dumplings is exactly the same. When 4 dumplings are randomly selected from the pot, the probability that at least 1 of each kind of dumpling is selected is _____. (The result should be expressed as a simplest fraction.)

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