
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 from Monday to Saturday this week, there is a $30\%$ chance of sun, a $30\%$ chance of getting 5 inches of rain, and a $40\%$ chance of receiving 12 inches of rain each day. What is the expected value of the total amount of rain which will fall from Monday to Saturday? Round your answer to the nearest tenth.

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