
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
In order to beautify the environment, we select any two types of flowers from four colors: red, yellow, white, and purple, to plant in one flower bed, and the remaining two types in another flower bed. Find the probability that the red and purple flowers are not in the same flower bed.

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