Simulations to Estimate Probabilities Answers

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?

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.Which set of outcomes from Ryan’s simulation implies that the winner will attend a private school at least three times in that span? Select two options.

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?

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?

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?

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 StudentsGrade 717Grade 834Every 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?

Theo is using this spinner to predict the favorite movie genre of randomly chosen students in his school.If Theo spins the spinner 60 times, how many times should he expect it to land on “Action”?

Alaina surveyed students on her bus about their homework.The results are shown in this two-way table.Student Homework Last Night ResponsesHad Homework8Did Not Have Homework4Alaina used this data to design a spinner with 6 congruent sections that predicts whether a randomly selected student had homework last night.How many sections of Alaina’s spinner represent students who did not have homework?

Vinay constructed this spinner based on the population of teachers at his school.According to Vinay’s model, what is the probability that he will have a male history teacher two years in a row?

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?