
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
To understand the vision condition of students in a school, a random sampling method is used to select 5 students from each of the two classes, A and B, for vision testing. The test results are as follows:  
The vision test results of 5 students in class A: 4.3, 5.1, 4.6, 4.1, 4.9.  
The vision test results of 5 students in class B: 5.1, 4.9, 4.0, 4.0, 4.5.  
(1) Calculate the average of the two sets of data separately. Based on the calculation results, which class has better vision? And calculate the variance of the vision of the 5 students in class A;  
(2) Now randomly select 2 students from the 5 students in class B, and calculate the probability that at least one of the two students has a vision lower than 4.5.

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