Probability Simulation

Which is the best way to simulate choosing one student out of 12 to be the class president?

• roll a die and flip a coin

• roll a die

• spin a spinner with 4 sections

• flip a coin

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

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

______________ is the imitation of chance behavior, based on a model that accurately reflects the situation.

• Event

• Probability

• Simulation

• Sample Space

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

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

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

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 cereal company is placing one of 6 different tickets into its boxes of cereal. If each ticket is equally likely to appear in a box of cereal, which model could be used to simulate the tickets you would find in 50 boxes of cereal?

• a coin that is flipped 50 times

• a spinner that has 4 sections that is spun 50 times

• a number cube that is rolled 50 times

• a coin is flipped and a number cube is rolled 50 times