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There are two swimming pools in a resort complex, one indoor and one outdoor. Most people...

There are two swimming pools in a resort complex, one indoor and one outdoor. Most people tend to go back to the same pool each day, but there is a 1:5 odds in favour that a person who goes to the indoor pool one day will go to the outdoor pool the next, and a 4:1 odds against that a person who goes to the outdoor pool on one day goes to the indoor pool on the next day.Suppose that on one Monday 70% of the people are at the indoor pool and 30% of people are at the outdoor pool. Estimate the percentage of people at each of the pools on Wednesday and give the answer to 1 decimal place.

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Answer #1

p(a person who goes to the indoor pool on one day will go to the outdoor pool on the next day)

p(a person who goes to the out door pool on one day goes to the indoor pool on the next day)

ON ONE MONDAY

People at indoor pool

Outdoor

P(Indoor on monday outdoor on wednesday)

P(Outdoor on monday indoor on wednesday)

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