
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
Jason rolls three fair standard six-sided dice. Then he looks at the rolls and decides to reroll a subset of the dice (possibly empty, possibly all three dice) aiming to maximize his chances of the sum being exactly or above $9$. What is the probability that he chooses to reroll exactly two of the dice?
A) $\frac{1}{8}$
B) $\frac{1}{6}$
C) $\frac{5}{12}$
D) $\frac{1}{4}$
E) $\frac{1}{3}$

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