
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 bag contains 6 red balls and 8 white balls. If 5 balls are randomly placed into Box $A$ and the remaining 9 balls are placed into Box $B$, what is the probability that the sum of the number of white balls in Box $A$ and the number of red balls in Box $B$ is not a prime number? (Answer with a number)

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