
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
Two players, A and B, participate in a riddle-guessing competition as a team. The competition consists of two rounds, and in each round, both A and B guess one riddle. The probability of A guessing each riddle correctly is $\frac{3}{4}$, and the probability of B guessing each riddle correctly is $\frac{2}{3}$. A and B's performance in guessing riddles does not affect each other. What is the probability that A and B will guess a total of three riddles correctly by the end of the competition?

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