Simulations to Estimate Probabilities Answers

The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom. Which methods can be used to simulate this situation? Select three options..

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?

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?

Which statement best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday?

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 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?

Tyler believes that an 8-sided die can be used to predict whether customers at his store will use a coupon when making their purchases, with a roll of 1 indicating a coupon and all other outcomes indicating no coupon. Today, 4 of the first 48 customers in the store used a coupon. How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die?

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?

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”?