Suppose each of two tubs contains two bottles of beer; two are Budweiser and two are

Chapter 6, Problem 5

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QUESTION:

Suppose each of two tubs contains two bottles of beer; two are Budweiser and two are Becks. Each minute, Fraternity Freddy picks a bottle of beer from each tub at random and replaces it in the other tub. After a long time, what portion of the time will there be exactly one bottle of Becks in the first tub? at least one bottle of Becks?

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QUESTION:

Suppose each of two tubs contains two bottles of beer; two are Budweiser and two are Becks. Each minute, Fraternity Freddy picks a bottle of beer from each tub at random and replaces it in the other tub. After a long time, what portion of the time will there be exactly one bottle of Becks in the first tub? at least one bottle of Becks?

ANSWER:

Step 1 of 3

The given set of vectors is .

Let .

According to the definition, a vector  lies in  if and only if  and .

For the given , and .

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