
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 number of balls, identical except for their color, are either red or white. It is known that the number of red balls is more than the number of white balls but less than twice the number of white balls. If each white ball is assigned a value of 2 and each red ball a value of 3, then the total value of all the balls is 60. Now, if one ball is randomly selected, the probability of picking a red ball is ______.

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