# Genetic probabilities

49% of the population has a particular gene. A test has been developed that can determine if a person has this gene or not. The test has a false positive (says the person has the gene when they don't) rate of 6%, and a false negative rate of 3%. What is the probability that a random person will test positive to having this gene using this test?

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#### Solution Preview

P(Gene) 0.49

P(Test Gene / No Gene) 0.06

P(Test No Gene / Gene) 0.03

Apply Bayes theorem ...

#### Solution Summary

This solution applies the Bayes Theorem to determine the probability that a random person will test positive to having a certain gene using a certain test.

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