Lab 7A(tree diagrams, counting princprobability) (1) - Comp AutoSave (@ Off) H View Help Insert Design Layout References Mailings Review File Home Draw AL X Cut Times New Roma ~ 12 A A Aa Po AaB Copy Head Paste BI U ~ ab X, X A D . A Format Painter Font Paragraph Clipboard Name_ MAT 143 Lab:Tree Diagrams, Counting Principle, Proba I. Counting Principle 1. You are required to take five courses, one each in humanities, sociology, science, math, and music. You a choice of four humanities courses, three sociology courses. five science courses, two math courses, and t music courses. How many different sets of five courses are possible? 2. The car model you are considering comes with or without air conditioning, with or without sun roof, wi without CD player, and in eight stock colors. How many different versions of the car are available? 3. A lock consists of a dial that can be set to any of the numbers 1 - 30. How many different three-number combinations are possible if numbers can be repeated? 4. A restaurant has 7 entrees, 6 vegetables, and 9 desserts on its menu. If you want to order a meal consistin one item from each of these categories, how many possible choices do you have? II. Tree Diagrams and Probability ball. 5. Two balls are drawn (one after the other) with replacement from a bag containing a red, a blue, & a white a) Draw a tree diagram and list the sample space. b) P( drawing at least one white ball) c) P(drawing no white balls) d) P(drawing both blue balls) 6. A coin is flipped and then a die is rolled. a) Draw a tree diagram and list the sample space.Koby . K Share AABBCCD AaBbCcD AaBbCcI Find ~ Replace Intense Re... Book Title 1 List Para. = Dictate Select v Reuse Files Editing Voice Reuse Files 9. In tossing a fair coin 500 times. the results were heads on 280 trials. Find the probability that a coin toss will be heads 10. At his favorite fishing spot. John Jones caught 24 fish in a single afternoon. 12 of this were bass, 3 were catfish, and the rest were perch. Find the probability that the next fish he catches in this spot will be a a) bass b) catfish c) perch 11. A special 6-sided die is made with the following symbols: . It is rolled once. Find the probability for each of the following events. a) PCV b) PC c) P(not = ) 12. At a certain Chinese restaurant, each customer is offered a plate with 8 fortune cookies on it. In each cookie there is a slip of paper, which gives the customer a discount of $1, $2. or $5 off of the price of his/her meal. There are 5 cookies with a slip for a $1 discount, 2 cookies with a slip for a $2 discount, and 1 cookie with a slip for a $5 discount. A customer is allowed to choose only one cookie. Find the probability that the customer receives each of the following discounts. a) $1 b) $2 c ) $5 d) more than $1 13. One card is drawn from a standard deck of 52 cards. Find the probability that the card is a) P(a king) b) P(face card) c) P(the ace of diamonds) e) P(not a queen) d) P(a card with the number 13 printed on it) e) P(a king or a queen) g) P(a spade or a face card) . In a study of 100 people, the data in the following table were obtained: No lung cancer