Question

use the die and spinner to answer the questions below. an experiment consists of rolling a die and spinning a spinner. draw a tree diagram, make a list of outcomes and write the total number of outcomes.

Explanation:

Step1: Identify die outcomes

Die has 6 outcomes: $\{1,2,3,4,5,6\}$

Step2: Identify spinner outcomes

Spinner has 4 outcomes: $\{1,2,3,4\}$

Step3: Calculate total outcomes

Multiply the number of each set of outcomes: $6 \times 4 = 24$

Step4: List all paired outcomes

Pair each die value with each spinner value, e.g., $(die\ value, spinner\ value)$

Step5: Tree diagram structure

First branch: 6 die values. From each die branch, add 4 spinner branches, each labeled with the spinner value, resulting in 24 total end branches.

Answer:

Total number of outcomes: 24
List of outcomes:
(1,1), (1,2), (1,3), (1,4),
(2,1), (2,2), (2,3), (2,4),
(3,1), (3,2), (3,3), (3,4),
(4,1), (4,2), (4,3), (4,4),
(5,1), (5,2), (5,3), (5,4),
(6,1), (6,2), (6,3), (6,4)