Arecent survey by the american cancer society has shown that the probability that someone is a smoker is p(s) = 0.29. it has also determined that the probability that someone has lung cancer, given that he or she is a smoker is p(lc|s) = 0.552. what is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer p(s ∩ lc)?