
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 team of 3 people participates in a knowledge competition. The competition consists of 10 questions, each of which can be answered by any one of the team members. Correct answers score 10 points, and incorrect answers score 0 points. Assuming that the 3 team members answer the questions independently, and the probabilities of answering a question correctly are 0.4, 0.4, and 0.5, respectively, the team is expected to score $\boxed{82}$ points in this competition.

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