
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
Player A and player B are two basketball players shooting from the same position independently. The hit rates are $$\frac {1}{2}$$ and p, respectively, and the probability that player B misses twice in a row is $$\frac {1}{16}$$.  
(Ⅰ) Find the hit rate p for player B;  
(Ⅱ) Find the probability that player A hits at least once in two shots;  
(Ⅲ) If both players A and B shoot twice, find the probability that they hit a total of two times.

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