
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
In a box, there are $5$ black balls and $4$ white balls. Now, two balls are drawn successively without replacement. Let event $A$ be "drawing a black ball on the first draw" and event $B$ be "drawing a white ball on the second draw." Then, calculate the value of $P(AB) + P(B|A)$.

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