I am studying the probability multiplication rule but there is something i don't get: I have this frequency table:
and say one sample is randomly picked up, if I want to calculate the probability of sampling one individual which is Male AND Infected my understanding is that as the two events are independent it should be: Pmale=43/81 Pinfected=59/81 Pmale AND Infected=Pmale*Pinfected=0.386
but from the frequency table I see the actual number of infected man is 36, and 36/81 gives 0.4444...shouldn't these percentages be equal? what am i missing?
they turn out to be equal if the number of infected and not infected man and woman is the same (i.e inf/not inf man=30 and inf/not inf woman=2). sorry for the probably very basic question and thanks for your time!