Slide 1
Creating a Tree Diagram
Many board games involve rolling two number cubes, like the ones shown.
Rolling “doubles” is a special roll in which the player rolls the same number on both number cubes. Board games like to award special bonuses for rolling doubles, like winning an extra turn.
Picture description: The picture illustrates a board game and two dice. The dice show a roll of ”doubles,” in that the top face of the dice both show four dots (a double roll of fours).
Slide 2
How likely is it to roll doubles with two number cubes?
Complete the tree diagram to find out the answer to this question.
Drag and drop the numbers into the appropriate boxes to represent the possible outcomes for the first roll.
Description of work area:
The beginning of a tree diagram is shown. There is the initial dot, and from this dot are six branches. At the end of each branch is a blank. There are six numbers, one through six, that can be clicked and dragged into the blanks at the end of the branches (one number per branch).
Correct Answer: The completed tree diagram includes the initial dot, and from this dot are six branches. At the end of the branches are the numbers one through six, with one number per branch without repeating numbers.
Slide 3
Which tree diagram shows the possible outcomes of the second roll based on the first roll?
Description of Quiz Area:
There are two tree diagrams to choose from.
Correct Answer: A
Slide 4
How many possible outcomes are there when rolling two number cubes? Type your answer in the blank.
Description of work area: A tree diagram is shown on the right. The tree diagram includes the initial dot, and from this dot are six branches. At the end of the branches are the numbers one through six, with one number per branch without repeating numbers. From each of these six branches are six more branches. Each set of six branches is labeled with the numbers one through six.
An answer blank appears.
Correct answer: 36
Slide 5
What is the probability of rolling doubles? Simplify your answer and type the fraction in the blanks.
Description of work area: A tree diagram is shown on the right. The tree diagram includes the initial dot, and from this dot are six branches. At the end of the branches are the numbers one through six, with one number per branch without repeating numbers. From each of these six branches are six more branches. Each set of six branches is labeled with the numbers one through six.
Two answer blanks appear. Enter the numerator of the fraction in the top blank, and the denominator of the fraction in the bottom blank.
Correct answer: 1/6 or one-sixth
Slide 6
What is the probability of rolling a sum of 7?
Simplify your answer and type the fraction in the blanks.
Description of work area: A tree diagram is shown on the right. The tree diagram includes the initial dot, and from this dot are six branches. At the end of the branches are the numbers one through six, with one number per branch without repeating numbers. From each of these six branches are six more branches. Each set of six branches is labeled with the numbers one through six.
Two answer blanks appear. Enter the numerator of the fraction in the top blank, and the denominator of the fraction in the bottom blank.
Correct answer: 1/6 or one-sixth
Slide 7
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