
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
In a knowledge contest organized by a class, there are a total of 10 questions. Three questions are randomly selected for a person to answer. To pass the preliminary test, the person must answer correctly at least 2 of the 3 questions. Knowing that the person can correctly answer only 6 out of the 10 questions, determine:  
(1) The distribution of the number of questions the person can answer correctly;  
(2) The probability that the person will pass the preliminary test.

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