In your neighborhood 20 of the houses have high levels of ra

In your neighborhood, 20% of the houses have high levels of radon gas in their basements, so you ask an expert to test your basement. An inexpensive test comes out positive in 80% of the basements that actually have high levels of radon, but it also comes out positive in 10% of the basements that do not have high levels of radon. If this inexpensive test comes out positive in your basement, what is the probability that there is a high level of radon gas in your basement? Show your work.

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