There are two tests for a disease, one is rapid and the other is slow. Given that an individual is infected, the rapid test will register positive 40% of the time, while the slow test will register positive 80% of the time; additionally, both tests will be positive 35% of the time. Suppose in the above example that people not infected always test negative for both tests.

Suppose in the above example that people not infected always test negative for both tests.

Assume currently, 20% of the population has the virus. Use Bayes theorem to calculate the chance that a persons has the virus conditioned on getting negative results for both tests(rapid and slow)?