
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
It is known that among 5 animals, 1 is infected with a certain disease, and it is necessary to determine the infected animal by testing their blood. A positive result in the blood test indicates the animal is infected, while a negative result indicates the animal is not infected. Below are two testing methods:  
Scheme A: Test one by one until the infected animal can be determined.  
Scheme B: First, randomly select 3 animals and mix their blood for testing. If the result is positive, it indicates that the infected animal is among these 3, and then test one by one until the infected animal can be determined; if the result is negative, then test one of the remaining 2 animals.  
(Ⅰ) Calculate the probability that the number of tests required by Scheme A is not less than the number required by Scheme B;  
(Ⅱ) Let $\xi$ represent the number of tests required by Scheme B, calculate the expectation of $\xi$.

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