
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 cooperative education alliance of six well-known schools in Guangdong, not only do they focus on improving students' academic performance, but they also emphasize enhancing students' comprehensive qualities. Six teams, named Group A, B, C, and D, were formed by selecting students from each school to participate in a comprehensive quality test. Assuming the probabilities of Groups A, B, C, and D passing the test are 0.6, 0.5, 0.5, and 0.4, respectively, and that each group's test outcome is independent:
1. Calculate the probability that at least three groups pass the test.
2. Let X denote the number of groups that pass the test. Calculate the expected value of X.

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