7A: I can identify and count the outcomes of an experiment and calculate the theoretical probability of an event.

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1 Geometry ^ t2r0`1c8p QKnuPtha\ esnohfftxwaacrger ililjcs.\ D callklw Jr^iSgDhgtTsD FraeKszerr_vPesdV. Assignment Name ID: 1 Date Period 7A: I can identify and count the outcomes of an experiment and calculate the theoretical probability of an event. Find the number of possible outcomes in the sample space for problems 1-6. For 7-9, find the probabilities. 1) The band must decide when to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday. The possible times are 3 or 4 p.m. 2) A sandwich shop has three types of sandwiches: ham, turkey, and chicken. Each sandwich can be ordered with white bread or multi-grain bread. 3) A spinner can land on either red, blue, green, yellow, or purple. You flip a coin and then spin the spinner. 4) You flip a coin seven times and then roll a six-sided die. 5) A softball player bats four times in a game. Each at-bat results in an out, getting on base, or hitting a home run. 6) A football player attempts four passes in overtime. Each pass attempt results in a completion, an incompletion, or a turnover. 7) A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a mint? 8) There is a jar of jelly beans with the following flavors: 12 are grape, 17 are blueberry, 5 are pineapple and 13 are coconut. What is the probability of selecting either a grape or blueberry? 9) The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than A? U A2w0N1O8s SKJurt`av _SqoDfwtxwiaErPed zl^lpcr.x c FAZlJlq FrPiXgKhst\st orheasre]revwesd].w _ cmfaydwew hwliithhr ni^nbfoifn_iftlen SGTeloDmce_tCrvyz. -1- Worksheet by Kuta Software LLC

2 7B: I CAN determine if two events are independent or dependent and calculate the probability of each. Determine whether the scenario involves independent or dependent events. Then find the probability. 10) A basket contains four apples and four peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples. 11) A cooler contains ten bottles of sports drink: four lemon-lime flavored and six orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. You and your friend both get lemon-lime. 12) A cooler contains twelve bottles of sports drink: five lemon-lime flavored, three orange flavored, and four fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. The first time, you get a lemon-lime drink. The second time, you get a fruit-punch. 13) A bag contains four red marbles and four blue marbles. Another bag contains three green marbles and four yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow. 14) A basket contains five apples and four peaches. You randomly select one piece of fruit, look at it, then put it back. Then you randomly select another piece of fruit. Both pieces of fruit are apples. 15) A bag contains three red marbles and four blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red. 16) There are five freshmen and eight sophomores in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. The first student is a freshmen and the second student is a sophomore. B Y2V0Y1\8J dkpuetzaw JSSoXfGtIwAaOrUei ULZLaCp.Y t ]AjlslU BryiughhDtmsb lr^easpesrbv_eldh.u d DMfa_dieH owiift\hz VIdn\fXiTnxictzeP TGieDoDmEeGtVrhy_. -2- Worksheet by Kuta Software LLC

3 7C: I can complete a two way table and use it to find the probability of an event. 1. Debbie counts the videos and DVDs she has and places them into categories. Videos DVDs TOTAL Horror Comedy 5 17 Sport 21 TOTAL a) Complete the table above b) How many total videos are there? c) How many total sport movies are there? d) Find the following probabilities of randomly picking the following: a. P(Horror Movie) = b. P(Video) = c. Probability of picking a sport movie given it is a DVD: d. Probability of picking a DVD, given it is a horror movie: 2. A travel agent recorded the bookings made on one Saturday. France Spain Germany TOTAL Car Plane TOTAL a) Complete the table above. b) One of the bookings is chosen. Calculate the probability of choosing a. a booking for Germany. b. A car booking c) A plane booking is chosen. Calculate the probability of it being to France. d) A Spain booking is chosen. Calculate the probability of it being a car booking.

4 Kuta Software - Infinite Algebra 2 Name Permutations vs Combinations State if each scenario involves a permutation or a combination. Date Period 1) A team of 8 basketball players needs to choose a captain and co-captain. 2) Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip. 3) The batting order for seven players on a 12 person team. 4) There are 45 applicants for three Computer Programmer positions. State if each scenario involves a permutation or a combination. Then find the number of possibilities. 5) Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks. 6) There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there? 7) You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't care what order they are in. 8) A group of 25 people are going to run a race. The top 8 finishers advance to the finals. 9) A team of 17 softball players needs to choose three players to refill the water cooler. 10) 5 out of 13 students will ride in a car instead of a van 11) The student body of 10 students wants to elect a president, vice president, secretary, and treasurer. 12) Selecting which seven players will be in the batting order on a 11 person team. 13) There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer. 14) A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. [ I2K0j1]5X bkpuftday FSqocfitmw`ayr`ej BLLLxCR.\ P GAylWla Crfirg]hOtasz LrnecsNeVrYvNeMdX.A c WMQaKdOex ewdixtthy niknrftiinnibtzeh jazl^gxe]b`r]a\ i2a. Worksheet by Kuta Software LLC

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