
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 point is selected at random on the number line between 0 and 1, and this point is marked blue. Another point is then chosen at random on the number line between 0 and 1, and it is marked red. What is the probability that the red point's number is greater than the blue point's number but less than three times the number of the blue point?

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