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June 03, 2013 HW: pg. 477/5-12 pg. 482/5-14 Warm up: 1) You have 4 pairs of pants and 8 shirts. How many different outfits can you make? 2) You roll a die and pick a card from a standard deck. How many possible outcomes are there? June 03, 2013 What is a sample space? the set of all possible outcomes in a probability experiment June 03, 2013 A store is selling brown and black sandals in sizes 7, 8, or 9. Find the sample space. June 03, 2013 Organized list vs. tree diagram June 03, 2013 Fundamental Counting Principle If event M has m possible outcomes and event N has n possible outcomes, then event M followed by event N has m x n possible outcomes. ex: A coin is tossed and a number cube is rolled. June 03, 2013 Find the total number of outcomes in each situation. 1) Rolling 2 dice and flipping a coin. 2) Making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonaise. 3) Choosing a 4 letter password using only vowels. 4) Choosing a 6 character password using letters or numbers. 5) A license plate with 4 letters and 2 digits. June 03, 2013 The finals of the Northwest Swimming League features 8 swimmers. If each swimmer has an equally likely chance of finishing in the top two, what is the probability that Ralph will be in first place and Sarah will be in second place? -Jake -Tina -Lana -Ralph -Ed -Sarah -Peter -Aliah June 03, 2013 Permutation -an arrangement of objects in which order is important June 03, 2013 Two different letters are randomly selected from the letters in the word math. What is the probability that the first letter selected is m and the second letter is h? June 03, 2013 A password consists of 4 letters, of which none are repeated. What is the probability that a person could guess the entire password by randomly selecting the four letters? June 03, 2013 1) In how many ways can a president, vice president, and secretary be randomly selected from a class of 25 students? 2) How many ways can 6 runners come in 1st, 2nd, and 3rd place? 3) How many ways can you arrange the letters in the word PRIME? 4) How many different 3 digit area codes can be created if no digit can be repeated? 5) There are 156 ways for 2 cars to finish first and second in a race. How many cars are in the race? June 03, 2013 1) In how many ways can a president, vice president, and secretary be randomly selected from a class of 25 students? June 03, 2013 2) How many ways can 6 runners come in 1st, 2nd, and 3rd place? June 03, 2013 3) How many ways can you arrange the letters in the word PRIME? June 03, 2013 4) How many different 3 digit area codes can be created if no digit can be repeated? June 03, 2013 5) There are 156 ways for 2 cars to finish first and second in a race. How many cars are in the race? June 03, 2013 HW Solutions June 03, 2013 June 03, 2013 A pizza parlor offers pepperoni, sausage, onions, mushrooms, and anchovies as toppings. How many different two-topping pizzas are possible? June 03, 2013 Combinations - an arrangement of objects in which order is not important June 03, 2013 How many 3 topping pizzas are possible if there are 7 toppings to choose from? June 03, 2013 In how many ways can you pick 2 stickers from a package of 7? June 03, 2013 In how many ways can 3 students be chosen out of 10 to present their projects at a craft fair? June 03, 2013 1) Jose wants to purchase 2 best-selling out of 20 that are for sale. How many ways can he do this? 2) On a math test you are given 6 questions and have to choose 4 to answer. How many ways can you do this? 3) A baseball coach has 13 players to fill 9 positions. How many teams can he play? 4) In a experiment, 2 units are chosen for testing from every 500 units produced. How many ways can these 2 units be selected? June 03, 2013 1) Jose wants to purchase 2 best-selling out of 20 that are for sale. How many ways can he do this? June 03, 2013 2) On a math test you are given 6 questions and have to choose 4 to answer. How many ways can you do this? June 03, 2013 3) A baseball coach has 13 players to fill 9 positions. How many teams can he play? June 03, 2013 4) In a experiment, 2 units are chosen for testing from every 500 units produced. How many ways can these 2 units be selected?