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One hundred Canadians have been classified into groups ?, ?, and ? based on age, with...

One hundred Canadians have been classified into groups ?, ?, and ? based on age, with 45 people in group ?, 25 in group ?, and 30 in group ?. It is known that 20 people in group ? have been vaccinated against a certain virus, while 10 people in group ? and 20 in group ? have been. If a person is randomly chosen from the 100 Canadians and it turns out they are someone who was not vaccinated, what is the probability they are from group ?? Give your answer to 2 decimal places.

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Answer #1

By using Bayes' theorem:

P(Group Y | Not Vaccinated)

= (25 - 10) / ((25 - 10) + (45 - 20) + (30 - 20))

= 0.30

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