Introduction to Tree Diagrams

Tree Diagrams and Simulations

2020

Multiple Choice

What is the probability that you will get plain crust with ham on your pizza?

• 1/8

• 1/₂

• 1/₁₀

• 2/₁₀

Multiple Choice

Which shows the sample space for flipping two coins?

• H, T
• HH, HT, TH, TT
• HH, TT
• Dime, Nickel

Multiple Choice

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

• 1/4

• 1/2

• 2/4

• 3/4

Multiple Choice

A tree diagram is useful in determining the __________of a probability experiment.

• result

• possible outcomes

• event

• none of the above

Multiple Choice

What is the probability of getting two or more heads with three flips of a coin?

• 1/4

• 1/8

• 3/8

• 1/2

Multiple Choice

 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

Multiple Choice

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

Multiple Choice

A certain brand of TV has a 50% chance of being defective. Which model could be used to determine the probability that when two TVs are chosen, they will both be defective?

• spin a spinner with 4 equal sections
• roll a die twice
• flip a coin twice
• flip a coin, then roll a die

Multiple Choice

Which is the best way to represent answering 25 multiple-choice questions with 4 choices for each answer?

• spin a spinner with four sections 25 times
• roll a die 25 times
• flip a coin 25 times
• roll a die 4 times

Multiple Choice

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

Multiple Choice

After the track meet, athletes are allowed to choose one of three snacks and one of two sports drinks. Which of the following simulations could be used to represent the choices made by the first 3 athletes to finish their events?

Multiple Choice

Zoe has different colored folders in her backpack. Which of the following models could be used to simulate a 1 in 3 change of Zoe randomly selecting a red folder from her backpack?

Multiple Choice

Ryan answered five true or false questions on a social studies practice test. Which experiment could Ryan use to simulate answering the questions on the test?

• roll a standard number cube 5 times

• spin a spinner with 5 equal sections

• flip a coin 5 times

• randomly draw tiles labeled 1 through 5 from a bag