Module 13 Theoretical Probability and Simulations

What is the probability of flipping a coin 3 times and getting 3 heads?

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?

Isidro flips a fair coin 40 times. How many

times can he expect heads to appear?

• 4

• 10

• 15

• 20

A number cube has sides labeled 1 to 6.

Hannah rolls the number cube 18 times.

How many times can she expect to roll a

number less than 3?

• 2

• 3

• 6

• 8

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

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

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 

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%

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

Scarlett selects a card at random from a deck that contains 18 red, 12 yellow, and 20 blue cards. What is the probability that she does not select a red card?