
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
Fifteen balls numbered $1$ to $15$ are in a jar. Jack reaches into the jar and randomly removes one of the balls. Then Jill reaches into the jar and randomly removes a different ball. The probability that the sum of the two numbers on the balls removed is divisible by 3 is:
A) $\frac{1}{7}$
B) $\frac{2}{7}$
C) $\frac{3}{7}$
D) $\frac{4}{7}$
E) $\frac{5}{7}$

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