Conditional Probability of Having a Condition

A medical survey was conducted to determine the prevalence of a specific condition among patients in a clinic. Out of 200 patients surveyed, 120 were found to have the condition, while 80 did not. Among those who have the condition, 45 are male and 75 are female. Among those who do not have the condition, 30 are male and 50 are female.

If one of the male patients is selected randomly from the survey, what is the probability that this patient has the condition?

Let:

- $A$ be the event that a patient has the condition.

- $B$ be the event that a patient is male.

We want to find $P(A|B)$.