
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 four fair standard six-sided dice. He looks at the rolls and decides to either reroll all four dice or keep two and reroll the other two. After rerolling, he wins if and only if the sum of the numbers face up on the four dice is exactly $9.$ Jason always plays to optimize his chances of winning. What is the probability that he chooses to reroll exactly two of the dice?
**A)** $\frac{7}{36}$
**B)** $\frac{1}{18}$
**C)** $\frac{2}{9}$
**D)** $\frac{1}{12}$
**E)** $\frac{1}{4}$

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