A tree diagram indicates that 40% of students surveyed attend UCA and 60% attend Arkansas State. Of those attending Arkansas State, 70% drink and 30% do not drink. What is the probability that a student attends Arkansas State and does not drink? Solution P ( A and Not Drinking) = P(A) * P(Not drinking) = 0.60 * 0.30 = 0.18 = 18% is the required probability hope this helps..