
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 green point is chosen at random on the number line between 0 and 1. Subsequently, a purple point is chosen at random on the number line also between 0 and 1. What is the probability that the number of the purple point is greater than the number of the green point, but less than three times the number of the green point, and less than 0.75?

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