There is a population where no one has any COVID symptoms.Even though everyone in the population is asymptomatic, in reality 5% of this population is a carrier of the virus.

There is a test that accurately identifies 90% of the people who are carrying the virus.If a person does not carry the virus the test identifies that accurately 85% of the time.

A random person in this population is given the test, and the test comes back positive for the virus.

What is the probability that the person is actually a carrier of the virus?