Question

Use a tree diagram for the sample space for the event a die is rolled and a coin is tossed. State the number of possible outcomes.

Short answer

Total possible outcomes will be 12.

Step-by-step solution

Step 1. Introduction.

A tree diagram is a management tool which represents the union of two or more events. And its main function is to represent the hierarchy of tasks and subtasks. It starts from one point or item and goes through several like growing the branches of the tree.

Step 2. Tree diagram for a coin and die.

Step 3. Observation from the tree diagram.

When a coin is tossed and die is rolled, the possible outcomes will be 2 and 6 respectively. But here both operations are working together, thus the possible outcomes will be 12.