Simulation to Model Chance

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a six-sided number cube 6 times

• rolling a six-sided number cube 20 times

• spinning a spinner with 4 equal sized sections 4 times

• choosing 1 marble in a bag of 20 different colored marbles

Layla has 2 pairs of shoes and 6 pairs of socks. If each pair of socks and each pair of shoes is equally like to be chosen, which is the best simulation to show the probability of choosing any given combination?

• roll a die and flip a coin

• roll a die two times

• flip a coin 6 times

• flip a coin 2 times

Samuel has 5 different colors of pens and 2 different colors of paper. Which model could be used to show how many different choices he has?

• spin a spinner with 5 sections, then flip a coin

• roll a die 5 times

• flip a coin 5 times

• roll a die, then flip a coin 5 times

A teacher wants to randomly choose 4 students to answer a series of questions. If there are 20 students in the classroom, describe a model that the teacher could use to simulate choosing these 4 students.

• rolling a number cube 20 times

• spinning a spinner with 20 sections 4 times

• flipping a coin 20 times

• rolling a number cube and flipping a coin 20 times

Based on the results of this simulation, when 3 people are randomly selected, exactly 2 right-handed people are selected approximately ____% of the time.

• 20%

• 25%

• 18%

• 22%

A way to model random events, so that outcomes closely match real-world outcomes is called a(n) ________________.

The mayor of a Opa-Locka wants to find the probability that families with three children have all girls. Which simulation will best model the situation?

• a spinning wheel with three colors, spun twice

• three coins flipped 10 times

• a numbered cube rolled 3 times

• a random-number generator, generating numbers from 1 to 10, pressed twice

An experiment that approximates a situation in the real world, meant to save time and is easier

• outcome

• simulation

• probability

• event

Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 of the tests. Which simulation design has an appropriate device and a correct trial?

• Roll a die letting 1-5 represent Lori passing a test and 6 represent Lori failing a test. Roll the die four

  times.

• Let Heads represent Lori passing a test and Tails represent Lori failing a test. Flip the coin four times.

• Using a random digits table select one digit numbers where 0-8 is a passing grade and 9 is a failing

  grade. Select four digits.

• Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin

  the spinner four times.

To determine what letter will be used in a game of Scattegories (where a letter is chosen at random), Mr. Glass sets up a simulation. He wants to determine how likely it is that a vowel is chosen both times if they play the game twice. How should he set up his simulation?

• Use 1-5=vowel, 6-26=non vowel. Choose 5 numbers from 1-26

• Use 1-5=vowel, 6-10=non vowel. Choose 2 numbers from 1-10

• Use 1-5=vowel, 6-26=non vowel. Choose 2 numbers from 1-26

• Use 1-5=vowel, 6-10=non vowel. Choose 5 numbers from 1-10