Theoretical Probability Simulations

Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She records its color and returns the marble to the bag. If Tammy repeats this process 90 times, how many times can she expect to pull out a red marble?

• 5

• 10

• 15

• 18

Two number cubes each have sides that

are labeled 1 to 6. Isis rolls the 2 number

cubes. What is the probability that the

sum of the numbers rolled will equal 4?

The questions on a multiple choice test each have 5 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a number cube 5 times

• spinning a five-sided spinner 20 times

• flipping a coin 20 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

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%

• 1/10

• 9/10

• 1/2

• 1/5

An experiment that represents the likelihood of an event occurring in real-life.

• theoretical experminet

• sample space

• simulations

• complement

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

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 6 times

• choosing 6 marbles in a bag of 20 different colored marbles

• 15

• 30

• 50

• 10