Probability & Combinations( Week 49 Evaluation) 1. A bag contains 19 marbles: 6 red, 8 green, and 5 yellow. What is the probability of pulling a yellow one from the bag?(Express your answer as a fraction to the lowest terms) 2. You have 7 one-cent stamps and 3 five-cent stamps. Using at least one stamp from each type, how many different amounts of postage can you make? 3. The ratio of red balls to blue balls in a bag is 8 : 7. A ball is randomly picked from the bag. What is the probability that the ball picked is a blue one? 4. It is a picture day. There are 5 girls and 4 boys in a class. Every two girls will take a photo and every two boys will also take a photo. How many photos will be taken for the entire class? 5. 5 students line up. How many possible ways can they line up in? 6. In how many ways can you make up 29 cents using coins(quarter, dime, nickel, and penny)? 7. 6 students will take a picture with a professor together. If the professor is required to be placed in the middle position(s), how many possible arrangements for the picture? 8. How many pairs of different numbers can be chosen from 1, 2, 3, 4, 5, 6, 7, and 8, so that the sum of two numbers is even. Note that the pair 2, 4 is the same as the pair 4, 2. 9. Emily's class has a reading list that consist of 8 novels, 3 science and 9 biographies. Emily will select one novel, one science and one biography from the reading list to fulfill an assignment. How many different selections of a novel, a science and a biography are possible? 10. A restaurant menu lists 5 appetizers, 5 dessert and 5 main dishes. How many different appetizer-dessert-main dish combinations are possible from this menu? |