
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 out of $10$ questions, person A can answer $5$ questions correctly. It is specified that in each test, $3$ questions are randomly selected from the backup questions. To pass the test, at least $2$ questions must be answered correctly. The probability of person A passing the test is ______.

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