
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 penny, nickel, dime, quarter, half-dollar, and dollar coin are simultaneously flipped. What is the expected value of the amount of the coins which come up heads? Express your answer in cents.

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