
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 box contains three cards, each marked with the numbers $1$, $2$, and $3$. Apart from the numbers marked on them, the three cards are identical. Draw one card at a time randomly with replacement for $3$ times, and denote the numbers on the drawn cards as $a$, $b$, and $c$ in order.  
(Ⅰ) Find the probability that the numbers on the drawn cards satisfy $a+b=c$;  
(Ⅱ) Find the probability that the numbers $a$, $b$, and $c$ on the drawn cards are not all the same.

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