
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
A certain school organized a knowledge competition on the "Hangzhou Asian Games". Yuan Yuan randomly selects one question without replacement from $3$ multiple-choice questions and $2$ fill-in-the-blank questions each time. Let event $A$ be "selecting a multiple-choice question for the first time" and event $B$ be "selecting a fill-in-the-blank question for the second time." Find $P\left(A|B\right)=\_\_\_\_\_\_.$

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