
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
Throwing a fair die, the probability of any number appearing on the top face is $\dfrac{1}{6}$. Let event $A$ be "the number on the top face is odd", and event $B$ be "the number on the top face is no more than $3$". Then, the probability $P(A\cup B)=$     .

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