Term 4 Test 3 Graded Assignment 1 Extra Practice
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1 Algebra 2 p l2c0sa5j UKcustTaw WSeozfZtlwzaZr\eh slql^cf.b H OAKlYlc ZriiEgWhotAsb Lrwe\sXenrEvgeOdy. Term 4 Test 3 Graded Assignment Extra Practice State if each scenario involves a permutation or a combination. Then find the number of possibilities. ) There are 50 applicants for three jobs: computer programmer, software tester, and manager. Permutation; 7,600 B) Permutation; 80,525 Combination; 89,275 D) Permutation; 58,800 Permutation; 39,200 2) 4 out of 2 students will ride in a car instead of a van Combination; 65 B) Combination;,980 Permutation; 529 D) Permutation;,880 Combination; 495 3) The batting order for ten players on a 2 person team. Permutation;,97,504,000 B) Combination; 47,900,60 Permutation; 238,50,90 D) Permutation; 238,525,70 Permutation; 239,500,800 4) The student body of 35 students wants to elect a president, vice president, and secretary. Combination; 9,87 B) Permutation; 39,696 Permutation; 6,545 D) Permutation; 39,270 Combination; 6,545 5) A group of 20 people are going to run a race. The top three runners earn gold, silver, and bronze medals. Permutation; 7,50 B) Permutation; 3,680 Combination; 4,040 D) Permutation; 6,840 Combination; 20,520 6) You are setting the combination on a three-digit lock. You want to use the numbers 23 but don't care what order they are in. Combination; 7 B) Combination; 3 Permutation; 6 D) Combination; Combination; 0 7) The student body of 0 students wants to elect two representatives. Combination; 9 B) Permutation; 90 Combination; 45 D) Combination; 90 Permutation; 35 h g2f0my5q okgu\tiag wsyowfbthwuaxr]ey yltllcz.w d SAzlilt irhidgrhytjsh irsevsaenrhvrendc.] i dmoavdsed owlirtqhj RI_nzfFiJnuirtcev ]Axl[gxe]bCrZaN M2m. --
2 8) There are 40 applicants for three jobs: computer programmer, software tester, and manager. Combination; 9,880 B) Permutation; 59,280 Combination; 29,640 D) Permutation; 355,680 Permutation; 48,645 9) Paul has homework in six subjects. He is deciding what order to complete them in. Permutation; 20 B) Combination; 445 Permutation; 44 D) Combination; 360 Permutation; 720 Find the probability of each event. 0) A small pond contains ten catfish and two bluegill. If ten fish are caught at random, what is the probability that all of them are catfish? 66».55% B) 20» 0.476% 32» 0.758% D) 65» 0.606% 20» 0.833% ) A chemistry lab requires students to identify chemical compounds by using various tests. Each student is given samples of three different compounds, labelled A, B, and C. Each student is also given a list of ten possible compounds. If a student does not perform the tests and randomly chooses three from the list, what is the probability that she guesses all three correctly? 42» 2.38% B) 720» 0.39% 56».786% D) 00» 0.% 330» 0.303% 2) A meeting takes place between a diplomat and twelve government officials. However, five of the officials are actually spies. If the diplomat gives secret information to seven of the attendees at random, what is the probability that no secret information was given to the spies? 84».9% B) 792» 0.26% 20 = 5% D) 35» 2.857% 720» 0.39% K F2\0KE5q XKuuntOal istojfvtmwaakreeh alqlmca.p u XAGlOlp PrniTgNhwt[ss PrfePsJe\rFv[efdO.j n IMbaud[eo \wqistxhg LIRnnfKixnriptieP hakldgxezbormar c2s. -2-
3 3) A gambler places a bet on a horse race. To win, she must pick the top three finishers in order. Eight horses of equal ability are entered in the race. Assuming the horses finish in a random order, what is the probability that the gambler will win her bet? 20» 0.476% B) 00» 0.% 3360» 0.03% D) 76» 0.058% 336» 0.298% 4) There are eight songs on your playlist. With random shuffle and no repetition, you listen to two songs. What is the probability that you listened to your favorite song first and your least favorite song second? 20» 0.833% B) 35» 2.857% 56».786% D) 0» 0.909% 65» 0.606% 5) A gambler places a bet on a horse race. To win, she must pick the top three finishers in order. Seven horses of equal ability are entered in the race. Assuming the horses finish in a random order, what is the probability that the gambler will win her bet? 2» 4.762% B) 792» 0.26% 20» 0.476% D) 76» 0.058% 90».% 6) A car dealership has seven cars in the lot. Unfortunately, the keys to the cars have been mixed up. The manager randomly grabs a key and tries to start a car. A salesman also randomly picks a different key and tries to start another car. What is the probability that both cars start? 75» 0.4% B) 66».55% 990» 0.0% D) 42» 2.38% 3360» 0.03% q a2]0`y5s qktu]ttai esaoqfitmwiabraey ELzLlCQ.J o yagl[le gr^iugrhhtxsy ^rxejsxeorpvxeodj.i C zm`ajdiec CwxiAtohc GIlnTfnijnqiQtkeF batlqgfeobhreac F2e. -3-
4 7) A politician is about to give a campaign speech and is holding a stack of eleven cue cards, of which the first 3 are the most important. Just before the speech, he drops all of the cards and picks them up in a random order. W hat is the probability that cards #, #2, and #3 are still in order on the top of the stack? 990» 0.0% B) 70».429% 35» 2.857% D) 26» 0.794% 32» 0.758% 8) A nature preserve has a population of ten black bears. They have been tagged # through #0, so they can be observed over time. Two of them are randomly selected and captured for evaluation. W hat is the probability that bears #3 and #5 are captured for evaluation? 45» 2.222% B) 3360» 0.03% 56».786% D) 90».% 720» 0.39% u r2s0\j5m MKbuAtvaF HSuoFfjtNwCaIrpeh olulncm.r S EAtlLlI qrtiugvhztysp ZrNelstenr`vWeKdh.Q b QMjaVdWeU vwuiitghq EIonkfPiCnhirtkeO IAylKg^elbPrxaK ]2D. -4-
5 Answers to Term 4 Test 3 Graded Assignment Extra Practice ) A 2) E 3) E 4) D 5) D 6) C 7) C 8) B 9) E 0) A ) B 2) B 3) E 4) C 5) C 6) D 7) A 8) A X y2a0mg5c mkyuotma[ WSrovfHtQwsaUrJeR WLGLOCF.t g vaslxl_ xreijgbhvtysf NrAetsfedrdvaezdD.m V XMkald[eH VwMietQhf sifnyfwidntibtne` faelhgneobxriam D2M. -5-
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