A tree diagram indicates that 40 of students surveyed attend

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.