
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 bowl contains 15 jellybeans (five red, three blue, and seven white). If you pick three jellybeans from the bowl at random and without replacement, what is the probability that exactly one will be red and the other two will be blue? Express your answer as a common fraction.

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