
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 weather report shows that for each day from Monday to Friday next week, there's a 30% chance of no rain, a 50% chance of getting 3 inches of rain, and a 20% chance of getting 8 inches of rain. Determine the expected value of the total rainfall from Monday to Friday.

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