
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
Let $A$, $B$, and $C$ be three random events. If $A$ and $B$ are mutually exclusive, $B$ and $C$ are complementary, and $P(A) = \frac{1}{4}$, $P(C) = \frac{2}{3}$, then $P(A+B) = \_\_\_\_\_\_$.

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