NME TE PERIO hapter Test, orm SORE. Write an organized list to show the sample space for choosing an outfit from black or tan pants and a black or tan shirt.., T, T, TT. What is the number of possible outcomes for spinning a spinner with six equal sections and then rolling a die?.. ow many single-scoop cones could be made from a choice of types of cones, flavors of ice cream, and optional toppings of peanuts and/or sprinkles?. 8. The 5 senior members of the softball team line up to take a picture. What is the probability the center fielder is in the center and the first baseman is to next to her?., 0.0, or % 0 5. The hostess sat your group of family members at a round table. If you all choose your seats randomly, what is the probability you sit on your mom s right?. Using the letters and numbers,, L, 8,, and 8, what is the probability that a -space license plate would spell L88? 7. Points,,,, E, and are coplanar, but no are collinear. What is the probability that a line segment chosen at random would be? 5.. 7. 5 0 5 ssessment opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 8. Point X is chosen at random on 5. Use <, >, or = to compare. P(X is on ) P(X is on ) 9. arla is has programmed her screen saver to change colors. In a -minute cycle, the screen is green for 0 seconds, purple for seconds, pink for seconds, then green for seconds, purple for seconds, and pink for 0 seconds. If she sits down at her computer at a random time, what is the probability her screen will be green? 0. Using the spinner shown, what is the probability the pointer lands on yellow or red? 8. 9. 0. 9 0 >, 0.5, or 5%, 0., or % hapter 59 lencoe eometry
NME TE PERIO hapter Test, orm (continued). ind the probability of a point chosen at random being in the shaded region... What method can be used to simulate an experiment with two equally likely outcomes?. Sample answer: coin. If a simulation was conducted with 50 trials and a certain outcome occurred times, does that show a theoretical probability, an experimental probability or an expected value of 0.?. Is the following statement true or false?.. experimental probability false The Law of Large Numbers states that since an expected value is an average, it does not have to be equal to a possible value of the random variable. 5. alculate the expected value for each throw of this dart game. 5. 5. What is the probability that if cards are drawn from a standard deck without replacement, the first card is a heart and the second card is a spade? 7. In a game a pair of dice are rolled. ind the probability the sum of the numbers rolled is 8. 8. If only one die is rolled, what is the probability of rolling a or a prime number? 9. When drawing from a standard deck of 5 cards, what is the probability of not drawing a face card? 0. survey shows that 7% of students approve of the choices available in the school cafeteria. If two people are randomly chosen out of a group of 00, find the probability that exactly one person approves of the choices available. in. 00 00 00 00 00 in. in.. 7. 8. 9. 0., 0.0, or % 0, 0., or %, 0.5, or 50% 0, 0.77, or 77% 0.0 opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus etermine whether the following is sometimes, always, or never mutually exclusive: choosing a rhombus that is a parallelogram and a rhombus that is a square. : sometimes hapter 0 lencoe eometry
NME TE PERIO hapter Test, orm SORE. spinner has equal sized sectors colored red, blue, yellow, and green. The spinner is spun twice. Make an organized list to represent the sample space. R-R, R-, R-Y, R-, -R, -, -Y, -, Y-R, Y-, Y-Y,. Y-, -R, -, -Y, -. die is rolled times. ow many outcomes are possible?.. Janie brought pairs of pants, skirts, shirts, and 5 pairs of shoes on summer vacation. ow many different outfits can Janie create if she wears parts or a skirt, a shirt, and a pair of shoes?. 90. annah and her four best friends are lining up for a picture. What is the probability that annah will stand in the center and Katie will be on her left?. 5. The hostess sat your group of at a round table. If you all choose your seats randomly, what is the probability you are sitting in alphabetical order?. What is the probability that a randomly selected permutation of the letters,,,, L, L, O, R, T, U would spell calculator? 5.. 0 5,00 ssessment opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 7. Three of the 0 students in the Latin club are chosen at random to wear togas to school to promote the club. What is the probability that Joseph, eidi, and Katy are chosen? 8. Point X is chosen at random on MP. ind P(X is on MN ). 9. ind the probability of a point chosen at random being in the shaded area. 0. In a -minute traffic cycle the light is green for minute, 7 seconds; yellow for seconds; and red for minute, 7 seconds. If you arrive at the light at a random time, what is the probability that the light will be red?. circular spinner is created so that there are equal spaces. If two of the spaces are red, two of the spaces are blue, and two of the spaces are orange, find the probability the pointer lands on orange. 0 5 7. 8. 9. 0.. 0, 0.5, or 5%, 0.7, or 7% 9 0 or 0.8, 0., or % hapter 57 lencoe eometry
NME TE PERIO hapter Test, orm (continued). Urmi made 5% of her free throw shots last year. escribe a spinner that could be used in a simulation to determine the theoretical probability of Urmi making a free throw.. sample answer: a spinner with sectors and 98 or Questions and, use the frequency table and the following information. nnalee used her statistics from last year and created a simulation using a spinner to find the theoretical probability of her making a goal this season.. What is the theoretical probability of nnalee making a goal this season?., 0.5, or 5% 0. bout what size should you expect the central angle that designates the sector that represents makes goal be in the spinner nnalee designed for the simulation?. a central angle of about 5. card is drawn from a standard deck and not replaced. Then a second card is drawn. What is the probability that both cards are hearts?. What is the probability when a pair of dice is rolled, both show a? 7. What is the probability of drawing a or a heart from a standard deck of cards? 8. What is the probability of drawing a card from a standard deck and not drawing a face card? 9. alculate the expected value, E(X), of the dart game. 0. In Maya s sophomore class of 00 students, 89% wore their school T-shirt on school spirit day. If people are chosen at random from the entire class, what is the probability that at least one of them did not wear their school T-shirt? onus coordinate grid is drawn with a maximum of 0 and a minimum of 0 on the axes. The coordinates (0, ), (, 0), (0, ), and (, 0) are graphed to form a square. If a point is randomly chosen on the coordinate grid, what is the probability the point is inside of square? 00 00 00 5.. 7. 8. 9. 0. :, 0.0, or % 7, 0.7, or 7%, 0., or % 0, 0.77, or 77% 55. 0., 0.0, or % 5 opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. hapter 58 lencoe eometry
NME TE PERIO hapter Test, orm SORE. spinner has equal sectors numbered to. The spinner is spun twice. Make an organized list to represent the sample space..,,,,,,,,,,,,,,,,. die is rolled times. ow many outcomes are possible?. 9. arl is creating greeting cards from a website. e has to choose from the following: types of paper, 5 different fonts, 5 different greetings inside, and types of envelopes. ow many different cards can arl create?. 50. Minnie is stacking her 5 textbooks on the shelf in her locker. What is the probability that her hemistry book will be on top of the stack and her eometry book will be on the bottom?. 0, 0.05, or 5% 5. s part of the National onors Society ceremony, the six new members are randomly arranged in a circle. What is the probability that the new members are arranged in height order? 5. 0, 0.008, or 0.8% opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc.. What is the probability that a randomly selected permutation of the letters shown below will spell permutation? E I M N O P R T T U 7. Three of the ten members of the V club are randomly chosen to read the morning announcements for the month of May. What is the probability that the three freshmen in the club are chosen? 8. Point K is chosen at random on XY. ind P( K is on XP ). 7 9. t Khyree s favorite pizza buffet, the pizza is completely replaced every 0 minutes during the hour lunch rush. If he arrives at a random time during the lunch rush, what is the probability he will have to wait longer than 5 minutes for fresh pizza? 0. In a circular spinner, the sector colored yellow as a central angle of 85. What is the probability the pointer will land on yellow?. 7. 8. 9. 0. 9,958,00 0, 0.008, or 0.8% 0, 0.8, or 0.8%, 0.5, or 5% 7, 0., or 7 % ssessment hapter 55 lencoe eometry
NME TE PERIO hapter Test, orm (continued). Jake designed a simulation using random numbers 0 to 9 to represent the data in the table. ssign the random numbers to each outcome. Outcome Red 0% lue 0% reen 0% Yellow 0% Orange 0% Theoretical Probability. Sample answer: red: 0, ; blue,, ; green 5; yellow ; orange, 7, 8, 9 or Questions and, use the frequency table and the following information. Simon used his statistics from last year and created a simulation using a spinner to find the theoretical probability of his hitting a home run this season.. What is the theoretical probability of Simon hitting a home run this season?. bout what size should you expect the central angle that designates the sector that represented double be in the spinner Simon designed for his simulation?. Two cards are drawn from a standard deck without replacement. What is the probability the first card is an ace and the second card is a king? 5. pair of dice are rolled. What is the probability that a is rolled on each die?. What is the probability of drawing an ace or spade from a standard deck of cards? or Questions 7 and 8, use the dart game at the right. 7. alculate the expected value, E(X), of the dart game. 8. ind the probability of a point chosen at random being in the 00 point area. 9. What is the probability rolling a pair of dice and not rolling a? 0. Of the 00 bags of food the junior class created for the food bank, 9% contained peanut-free items. If two of the bags are chosen at random, what is the probability that at least one of the bags contains peanut-free items? onus circle with a diameter of x is inscribed in a square. point is chosen at random on the drawing. What is the probability that the point is inside the square but not inside the circle? 00 00 00... 5.. 7. 8. 9. 0.. 55, 0.8, or 8% a central angle of about 79, 0.00 or 0.%, 0.8 or 8%, 0.0, or 0% 55.5 7, 0., or % 5 0.7 - π opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. hapter 5 lencoe eometry
NME TE PERIO hapter Test, orm SORE Write the letter for the correct answer in the blank at the right of each question.. arlos can choose from a beef or turkey burger and from a wheat or a white roll. ow many different burgers can he make? 8.. If a die is rolled times, what is the number of possible outcomes?.! J. J. ind the number of possible outcomes for a weekend camping trip from places to camp, types of sleeping bags, types of tents, and 5 different meal plans. 0 90! -!.. The 5 posters made for spirit week are being hung in the front hall. What is the probability the largest poster will be in the center and the next largest will be on its left? 0 0 0 J 0. 5. Six people are randomly sat at a round table. What is the probability the people are sitting in alphabetical order? 0 70 0 5. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc.. What is the probability that a randomly selected permutation of the letters,,,, L, L, O, R, T, U would spell calculator? 5,00,880,8800 J 0,800 7. Three of the 0 people in the Latin club are chosen at random to wear togas to school to promote the club. What is the probability that Joseph, eidi, and Katy are chosen? 0 0 8. Point X is chosen at random on YM. ind P(X is on YZ ). 0 0. 0.5 0.9 J 0.5 500 9. spinner contains a sector shaded red with a central angle that is 50. What is the probability that the spinner will land on red? 5 50 80 5 5. 7. 8. 9. ssessment 0. ind the probability that a point chosen at random inside the circle also lies in the square. 5% % % 0% 0. hapter 5 lencoe eometry
NME TE PERIO hapter Test, orm (continued). Last year 5% of the books ordered for the school library were fiction. Which model would could be used in a simulation conducted to find the probability of whether or not a book chosen randomly from this years order will be fiction? a spinner with sectors of 5 and 55 a spinner with sectors of and 98 tossing a coin 5 times a bag of 5 marbles.. The Law of Large Numbers states that the more trials of a simulation you conduct, the difference between the average and expected values: decreases remains the same increases J approaches infinity.. alculate the expected value, E(X), of a dart game with the board shown. 9. 00 8. 00 00.. card is drawn from a standard deck and not replaced. Then a second card is drawn. What is the probability both cards are hearts? J 0 5 7 5. pair of dice are rolled. What is the probability that a is showing on both dice? 8. What is the probability of drawing a or a heart from a standard deck of cards? 7 J 9 5 5 7. What is the probability of drawing a card from a standard deck and not drawing a face card? 0 5 8. In Maya s senior class of 00 students, 89% attended the senior brunch. If students are chosen at random from the entire class, what is the probability that at least one of students did not attend the brunch? 0. 0. 0. J 0.89 00. 5.. 7. 8. J opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus circle with a diameter of x is inscribed in a square. point is chosen at random on the drawing. What is the probability that the point is inside the square, but not inside of the circle? : - π hapter 5 lencoe eometry
NME TE PERIO hapter Test, orm SORE Write the letter for the correct answer in the blank at the right of each question.. If a coin is tossed twice, three of the possible outcomes are, T, and T. What is the missing outcome? T TT T T.. die is rolled times. Using the undamental ounting Principle, which will find the number of possible outcomes? 5 J. J. ind the number of possible outcomes for creating an outfit from pairs of pants, skirts, shirts, and 5 pairs of shoes. 0!!.. The 5 starting members of the field hockey team are lining up for a picture. What is the probability the Jane will stand in the center of the picture and her best friend will be on her right? 0 0 0 J 0. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 5. or your birthday dinner, you and your family sit at a round table. If the members of your family all choose your seats randomly, what is the probability you are sitting in age order? 70 0 0. What is the probability that a randomly selected permutation of the letters,, I, W, L, E would spell wiggle? 70 0 80 7. Ten people serve on the principal s task force for healthier lifestyles. If he chooses of them at random to shoot a TV commercial for morning announcements, what is the probability that Joseph, eidi, and Katy are chosen? 0 0 500 J 90 8. Point X is chosen at random on PY. ind P(X is on LY ). 0.79 0.5 0.7 J 0.7 9. Use the spinner shown. ind the probability the pointer lands on purple. 5 80 80 9 9 0 7 5.. 7. 8. 9. ssessment hapter 5 lencoe eometry
NME TE PERIO hapter Test, orm (continued) 0. Jason made 0% of his shots at the goal last year in ice hockey. To find the probability of whether or not Jason makes his next goal, which simulation should be used? spinning a spinner 00 times with sectors of and spinning a spinner 00 times with sectors of 0 and 0 tossing a coin 0 times J choosing from a bag of 0 marbles 0 times 0.. ind the probability of a point chosen at random being in the shaded area of the diagram at the right. 9 9.. ccording to The Law of Large Numbers, what happens to the average value the more trials you conduct? approaches infinity approaches experimental value approaches expected value J decreases.. alculate the expected value, E(X), of a dart game with the board shown. 87.5. 00 55.5. card is drawn from a standard deck and not replaced. Then a second card is drawn. What is the probability the first card is an ace and the second card is a king? 5 87 J 5. What is the probability of rolling two sixes if you roll a pair of dice? 8. What is the probability of drawing an ace or a spade from a standard deck of cards? 7 J 5 5 9 7. What is the probability rolling a pair of dice and not rolling a? 5 5 8. In aniel s senior class of 00 students, 9% went to the senior picnic. If people are chosen at random from the entire class, what is the probability that at least one of them did not go to the senior picnic? 0.09 0.7 0.8 J 0.9 00 00 00.. 5.. 7. 8. J opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus The net for a cube with 5 inches on each side is unfolded and glued to a rectangular piece of paper that is 0 inches long and 0 inches wide. What is the probability that a dart thrown at the paper will not land on the net of the cube? : 5, about, 0.8, or 8% hapter 5 lencoe eometry
NME TE PERIO hapter Test, orm SORE Write the letter for the correct answer in the blank at the right of each question.. If a coin is tossed twice, how many possible outcomes are there? 0.. Use the undamental ounting Principle to find the number of possible outcomes if a die is rolled times.!! 9 J.. ind the number of possible outcomes for creating an outfit from pairs of pants, shirts, and 5 pairs of shoes. 0!!.. The 5 starting members of the basketball team are lining up for a picture. What is the probability they are lined up shortest to tallest?. J 5! 0 0. 5. The hostess sat your group of at a round table. If you all choose your seats randomly, what is the probability you sit closest to the kitchen? 70 70 0 5. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc.. What is the probability that a randomly selected permutation of the letters,,,, S, U would spell abacus? J 70 0 80 90 7. Point X is chosen at random on JM. ind P(X is on KM ). 0.9 0.7 0. 0.79 8. Your computer checks for new email messages every 5 minutes. If you sit down at your computer at a random time, what is the probability you will have to wait more than 5 minutes for the computer to check for new email messages? 5 5 9. Use the spinner shown. ind the probability the pointer lands on blue. 0 80 7 J 5. 7. 8. 9. ssessment 0. my made 0% of her free throws last year. Which of the following best describes a simulation that could be used to find the probability of whether or not my makes her next free throw? tossing a coin 0 times a dart board with equal sections a spinner with a sector J a bag of 0 marbles 0. hapter 9 lencoe eometry
NME TE PERIO hapter Test, orm (continued). Which of the following best describes an appropriate graphic representation of data from a simulation? frequency table bar graph line graph pictograph. The Law of Large Numbers says that the more trials of a simulation you conduct, the difference between the average and expected values: decreases remains the same increases J approaches infinity... ind the probability of a point chosen at random being in the shaded area of the diagram at the right. 9 9.. The object of a popular carnival game is to roll a ball up an incline into regions with different values. The probability that ngus will get 00 points in a roll is 0%, 00 points is 55%, and 00 points is 5%. The expected value, E(X), of a roll is: 00 85 00 J 75. 5. card is drawn from a standard deck and not replaced. Then a second card is drawn. What is the probability that both cards are aces? 7 7 5. Jonus rolls a die two times. What is the probability that he rolls an even number and then an odd number? J 7. The events of drawing an ace or a spade from a standard deck of playing cards are: independent mutually exclusive dependent not mutually exclusive 8. What is the probability of not drawing a diamond from a standard deck of 5 cards? J 5 5.. 7. 8. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus The hostess sat your group of family members at a round table. If you all choose you seats randomly, what is the probability you sit on your mom s right? : 5 hapter 50 lencoe eometry