
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]


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Given two sets $A=\{a_{1}, a_{2}, a_{3}, a_{4}\}$ and $B=\{b_{1}, b_{2}, b_{3}, b_{4}, b_{5}\}$, what is the probability of establishing a bijection (one-to-one mapping) from a subset of $A$ to $B$?

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