
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 two fair six-sided dice. He then decides whether to keep the dice, reroll one die, or reroll both dice to maximize his chances of winning. He wins if the sum of the dice after any rerolls is exactly 9. What is the probability that he chooses to reroll only one die?
A) $\frac{1}{12}$
B) $\frac{1}{6}$
C) $\frac{5}{18}$
D) $\frac{17}{36}$
E) $\frac{1}{9}$

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