
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 box contains 3 pennies, 5 nickels, and 4 dimes. Five coins are drawn without replacement, with each coin having an equal probability of being chosen. What is the probability that the value of the coins drawn totals at least 40 cents?
A) $\frac{105}{792}$
B) $\frac{210}{792}$
C) $\frac{315}{792}$
D) $\frac{120}{792}$

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