James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. the results are shown below. bring lunch: 46 males, 254 females buy lunch: 176 males, 264 females the events "male” and "buys lunch” are not independent because p(buys lunch | male) = p(male) = 0.4. p(male | buys lunch) = p(male) = 0.3. p(buys lunch | male) = 0.3 and p(male) = 0.4. p(male | buys lunch) = 0.4 and p(male) = 0.3.