
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
Xiao Ming and Xiao Hua are playing a game. First, Xiao Ming thinks of a number, denoted as $a$, and then Xiao Hua guesses the number Xiao Ming just thought of, denoting her guess as $b$. Both $a$ and $b$ belong to the set ${1,2}$. If $|a-b|=0$, they are considered to have "telepathy". What is the probability that they have "telepathy"?

A) $\frac{1}{4}$
B) $\frac{1}{3}$
C) $\frac{1}{2}$
D) $\frac{7}{9}$

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