
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 forecast predicts that for each day from Monday to Friday this week, there is a $30\%$ chance of sun, a $20\%$ chance of getting 5 inches of rain, and a $50\%$ chance of getting 8 inches of rain. Over the weekend, there is a $50\%$ chance of sun, a $25\%$ chance of getting 2 inches of rain, and a $25\%$ chance of getting 6 inches of rain. What is the expected value of the total number of inches of rain which will fall from Monday to Sunday this week?

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