
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 company is conducting open recruitment where candidates must randomly draw 3 questions out of 10 to answer. Only those who answer at least 2 questions correctly will have the chance to proceed to the "interview" stage. Xiao Wang knows the answers to 6 of them.
(1) Calculate the probability that Xiao Wang will proceed to the "interview" stage;
(2) Determine the probability distribution of the number of questions Xiao Wang can answer.

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