Out of $50$ people surveyed in a study, $35$ are smokers, among whom are $20$ males. What is the probability that if the person surveyed is a smoker, then he is a male?
After trying, I came up with this:
probability of being a smoker $= 35/50$
probability of being a smoker who is male $= 20/50$
probability of being male and smoker $= P(B \mid A) = 20/35$