
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 jar contains dimes (worth $0.10 each), half-dollars (worth $0.50 each), and quarters (worth $0.25 each). The value of the dimes is $20.00, the value of the half-dollars is $30.00, and the value of the quarters is $15.00. If a coin is randomly selected from the jar, what is the probability that it is a half-dollar?

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