
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
There is a lottery called "Daily Lottery", with each ticket priced at 2 yuan. There are two types of prizes: first and second prizes. The probability of winning the first prize is 0.1%, with a prize of 100 yuan; the probability of winning the second prize is 10%, with a prize of 10 yuan. What is the expected profit from purchasing one lottery ticket?

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