
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
Let the probabilities for person A and B to hit the target in each shot be $\frac{3}{4}$ and $\frac{4}{5}$, respectively, and assume each shot is independent.
(Ⅰ) If both A and B shoot once, find the probability that A hits the target while B does not.
(Ⅱ) If both A and B shoot twice, find the probability that they hit the target an equal number of times.

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