Fernando et al. (2003) studied drug-sharing among injection drugs users in the South Bronx in New York City. Splitting a bag a practice where heroin is shared between two people after dissolving it in a common cooker prior to injection is a known high risk factor for HIV exposure. Interviews with drug users in a residential treatment facility provided the following information.
Have you split drugs?
What is the probability that a person chosen at random will have split drugs?
What is the probability that a person chosen at random is not female?
What is the probablity that a person has split drugs given they are a male?
WHat is the probablility that someone chosen at random will be a female or will not have split drugs?
Given taht someone has split drugs what is the probablity that they are female?