
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 container holds quarters (worth $0.25 each), nickels (worth $0.05 each), and dimes (worth $0.10 each). The total value of the quarters is $12.50, the total value of the nickels is $15.00, and the total value of the dimes is $5.00. If Peter randomly selects one coin from the container, what is the probability that it is a dime?

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