12 Data management. please help me out with these following questions, i appreciate.

lilDllldU - Counting and Probability Assignment 1. A dinner menu consists of: bread or cheese for an appetizer: pasta. rice or meat for an entree: coconut custard or banana cake for dessert: tequila. margarita or coffee for drink. a. Construct a tree diagram showing the possible dinners a person could order. I). Verify the number of different dinners possible using the fundamental counting principal. c. How many different dinners are available for an individual. who never eats pasta after bread. never drinks coffee or tequila after coconut custard? 2. In our 10 digit phone number system, the rst digit cannot be 0 or 1 because you will get the operator or long distance. Assuming no other restrictions. nd the probability that a phone number selected at random consists of: The first two cigits being 6 then 4. The fifth digit is greater than 5. The titth and seventh digits are odd. The last digit is 5. The first three digits are 4 1 6. sect-T9 4. A bowl contains 15 green mints and 10 white mints. If yOu select three mints in a random fashion, what is the probability that: a. All three are white? b. Two are green and one is white? 5. In the roll at two dice. find the probability that the rst die rolls a 5 or 6 and the second die rolls a 1. 6. Given a standard deck of 52 cards. determine the probabiity of: Drawing the king of spades. Drawing a king. Drawing 2 Rings in a row. Drawing a red card or a king. Drawing a red king. sense 3. Which event is more likely. event A. drawing an ace and then king then a queen. or event B. drawing three consecutive aces? Assume that the cards drawn are not returned to the deck