Simulations to Estimate Probabilities Answers

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?

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?

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?

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?

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?

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?

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.

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?

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?