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An employee of a company is traveling to either England, Italy, or Spain. The employee can travel to only one country.There is a 50% chance

An employee of a company is traveling to either England, Italy, or Spain. The employee can travel to only one country.There is a 50% chance the employee will go to England and a 20% chance to Italy. Assume the chances of contracting COVID to be proportional to the prevalence of the disease in each country, given in the table below. For example, the chances of contracting COVID in England is 1200/1,000,000.

1. What are the chances that the employee will contract COVID while travelling?

2 .Assume that the employee has traveled to Europe and contracted COVID, what is the probability that he/she traveled to England?

Prevalence
Cases
Per Million
England 1200
Italy 1400
Spain 1800

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