The number rolled will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling an odd number. If there is more than one element in the set, separate them with commas. Sample space: \( \{[\mid]\} \)

Sure! Let's break down the problem step by step. ### Sample Space The **sample space** consists of all possible outcomes when rolling a standard six-sided die. Each face of the die has a unique number from 1 to 6. \[ \text{Sample space}: \{1, 2, 3, 4, 5, 6\} \] ### Event of Rolling an Odd Number An **event** is a subset of the sample space that represents one or more outcomes. In this case, we're interested in rolling an **odd number**. The odd numbers on a six-sided die are 1, 3, and 5. \[ \text{Event of rolling an odd number}: \{1, 3, 5\} \] ### Summary - **Sample space**: \( \{1, 2, 3, 4, 5, 6\} \) - **Event (rolling an odd number)**: \( \{1, 3, 5\} \) Feel free to ask if you have any more questions!