Problem 3: In a certain population, 80% drinks, 15% smokes, and 13% both drinks and smokes. A subject is chosen at random from this population. Events: D - Drinks, S - Smokes, DS -Drinks and Smokes...

I wanted help and to get ahead of my class. I need help with probability and explaining it. I would appreciate if it could be explained to me ASAP. Thank you

Extracted text: Problem 3: In a certain population, 80% drinks, 15% smokes, and 13% both drinks and smokes. A subject is chosen at random from this population. Events: D - Drinks, S - Smokes, DS -Drinks and Smokes (a) Fill in the following blanks and use these values to complete the table belov Probabilities: P(D) Probabilities Smokes (S) Drinks (D) P(S) P(DS) Not Smokes (3) Total P(D) P(D)- 1.00 P(DS) P(DS)- PDS) = P(S) Not Drink (D)P(DS)- P(S) Total (b) What is the probability the person does not drink? (c) What is the probability the person drinks or smokes? (d) If the person drinks, what is the probability that he or she smokes? (e) If the person does not smoke, what is the probability that he or she drinks? (f) Are the events "Drinks" and "Smokes" mutually exclusive? (State Ύes" or No" and explain.) (g) Are the events "Drinks" and "Smokes" independent? (State "Yes" or No" and explain.)