Math Test 3-Section 7

Theo is using this spinner to predict the favorite movie genre of randomly chosen students in his school. mc021-1.jpg If Theo spins the spinner 60 times, how many times should he expect it to land on "Action"? 10 12 15 20

15

The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders. According to the manager's model, what is the probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released? 1/16 1/8 1/4 1/2

1/16

Reese is using a coin to predict the gender of the puppies born to her dog. According to Reese's model, which is the probability that a litter of 5 puppies will be all males? 1/2 1/10 1/16 1/32

1/32

Ava surveyed the students in her homeroom about their footwear. She found that 12 students were wearing sneakers, 4 students were wearing boots, and 6 students were wearing dress shoes. She used this data to create a tool that would predict the footwear of randomly chosen students in the school. She placed 2 blue marbles, 3 red marbles, and 6 yellow marbles in a bag, and selected one marble, with replacement, for each student. What is the predicted footwear of three randomly chosen students if Ava drew two yellow marbles and 1 blue marble? 2 students wearing boots and 1 student wearing sneakers 2 students wearing sneakers and 1 student wearing boots 2 students wearing dress shoes and 1 student wearing boots 2 students wearing sneakers and 1 student wearing dress shoes

2 students wearing sneakers and 1 student wearing boots

Twelve of the last 16 winners of the school science fair have been seventh grade students. Mona placed 3 red marbles and 1 green marble in a bag to create a simulation to predict whether future science fair winners will be seventh graders. According to Mona's model, what is the probability that the next 4 winners will all be seventh grade students? mc018-1.jpg mc018-2.jpg mc018-3.jpg mc018-4.jpg

81/256

Twelve of the 20 students in Ms. Sarno's homeroom are female. Each month, Ms. Sarno randomly selects a student to act as "teacher's helper." Which simulation best models the selection of female "teacher's helpers" for January, February, March, and April? A spinner, divided into 5 congruent sectors with three of the sectors representing female students, is spun 12 times. A coin, with heads up representing female students, is flipped 4 times. A bag of 15 marbles, with 9 marbles representing female students, has a marble drawn 4 times with replacement. A number cube, with odd numbers representing female students, is rolled 12 times.

A bag of 15 marbles, with 9 marbles representing female students, has a marble drawn 4 times with replacement.

Sixteen of the 24 schools in Ryan's county are public schools. Ryan used this spinner to predict the probability that the winner of the county spelling bee in each of the next four years will attend a private school. mr024-1.jpg Which set of outcomes from Ryan's simulation implies that the winner will attend a private school at least three times in that span? A-A-A-A B-B-A-B A-B-A-B A-B-B-B B-A-B-A

B-B-A-B A-B-B-B

April and Sanjay are both using tools to simulate the probability that a family with three children will have exactly one girl. April is using a coin, with tails up representing a boy and heads up representing a girl. She flipped the coin three times. Sanjay rolled a number cube three times with odd numbers representing a boy and even numbers representing a girl. Which statement best describes their simulations? Both simulations have the same theoretical probability of a 3-child family having exactly one girl, but their experimental probabilities may differ. The simulations have different theoretical probabilities of a 3-child family having exactly one girl, and the experimental probabilities they generate may differ. The simulations have different theoretical probabilities of a 3-child family having exactly one girl, but their experimental probabilities will be the same. Both simulations have the same theoretical probability of a 3-child family having exactly one girl, and their experimental probabilities will be the same.

Both simulations have the same theoretical probability of a 3-child family having exactly one girl, but their experimental probabilities may differ.

Twelve of the 20 students in Mr. Skinner's class brought lunch from home. Fourteen of the 21 students in Ms. Cho's class brought lunch from home. Siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria. If each spinner is divided into 15 congruent sectors, how does the spinner representing Mr. Skinner's class differ from the spinner representing Ms. Cho's class? One more sector of the Skinner-class spinner will represent bringing lunch from home. One fewer sector of the Skinner-class spinner will represent bringing lunch from home. Two more sectors of the Skinner-class spinner will represent bringing lunch from home. Two fewer sectors of the Skinner-class spinner will represent bringing lunch from home.

One fewer sector of the Skinner-class spinner will represent bringing lunch from home.

2 4 5 7 9 Which situations can be simulated using this spinner? Check all that apply. mr022-1.jpg Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female Predicting the gender of a randomly chosen history teacher if 12 of 15 history teachers are female Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female Predicting the gender of a randomly chosen chemistry teacher if 4 of 9 chemistry teachers are female Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female

Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female

The table shows the number of grade 7 and grade 8 students on the student council at Jeremy's school. Grade Levels of Student Council Members Number of Students Grade 7 17 Grade 8 34 Every day, two student council members are randomly chosen to read the morning announcements. Students cannot be chosen more than once to read the announcements. Jeremy designed a simulation for the selection of the students and gathered data to predict the probability that a seventh grade student will be chosen. In Jeremy's simulation, he rolls two number cubes in each of 40 trials. In each trial, a cube landing on 1 or 2 represents a student in grade 7 being selected, and a cube landing on 3, 4, 5, or 6 represents a student in grade 8. Which statement best describes the flaw in Jeremy's model? The number of sides on a cube does not match the number of grade levels. The number of sides on a cube is not a factor of the total number of students. The number of outcomes representing each grade level does not change after the first student is chosen. The number of outcomes representing a student in grade 7 is not the same as the number representing a student in grade 8.

The number of outcomes representing each grade level does not change after the first student is chosen.

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card? a coin a 5-sector spinner a number cube a bag of 11 marbles

a number cube

Vince makes 75% of his free throw attempts. He wants to create a tool that will simulate his free throw shooting and allow him to predict the probability that he will make 6 of his next 7 free throw attempts. Which spinner simulation uses an appropriate device and has the correct number of trials? a spinner divided into 2 congruent sectors, spun 6 times a spinner divided into 2 congruent sectors, spun 7 times a spinner divided into 4 congruent sectors, spun 6 times a spinner divided into 4 congruent sectors, spun 7 times

a spinner divided into 4 congruent sectors, spun 7 times

A restaurant owner has found that 80% of her customers return to the restaurant within two weeks. She wants to create a tool that will simulate the habits of her customers and allow her to predict the probability that three of the next four customers to visit her restaurant will return within two weeks. Which spinner simulation uses an appropriate device and has the correct number of trials? a spinner divided into 5 congruent sectors, spun 3 times a spinner divided into 5 congruent sectors, spun 4 times a spinner divided into 2 congruent sectors, spun 3 times a spinner divided into 2 congruent sectors, spun 4 times

a spinner divided into 5 congruent sectors, spun 4 times