
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 certain school's knowledge competition consists of two rounds: preliminary and final. A class selects one student from two students, A and B, to participate in the school's knowledge competition (preliminary round). The scores of two students in 6 simulated tests are as follows:

|         | 1st Test | 2nd Test | 3rd Test | 4th Test | 5th Test | 6th Test |
|---------|----------|----------|----------|----------|----------|----------|
| A's Score | 100      | 90       | 120      | 130      | 105      | 115      |
| B's Score | 95       | 125      | 110      | 95       | 100      | 135      |

$(1)$ Based on the above data, compare the levels of the two students and determine the participant for the preliminary round.  
$(2)$ The requirements for the preliminary round are as follows: the participant randomly selects 3 out of 5 questions to answer, and must answer at least 2 correctly to advance to the final round. If a participant can answer 3 out of the 5 questions, find the probability that the participant can advance to the final round.

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