Write the sample space for the given experiment. An ordinary die is rolled. A. \( \{6\} \) B. \( \{36\} \) C. \( \{1,2,3,4,5,6\} \) D. \( \{1,6\} \)

The sample space for rolling an ordinary die consists of all the possible outcomes that can occur. When you roll a dice, you can get one of the numbers from 1 to 6, which means the full set of outcomes is \( \{1, 2, 3, 4, 5, 6\} \). So, out of the options given, the correct answer is C. Now, did you know that the concept of rolling dice goes back to ancient civilizations? Dice were excavated from sites like Mesopotamia, dating as far back as 5000 BC! Back then, they were commonly made from materials like bone or ivory and were used in various games and decision-making processes. Additionally, while rolling a die may seem simple, many people make the common mistake of not understanding that all outcomes are equally probable. This means that rolling a 1 is just as likely as rolling a 6, with each having a probability of \(\frac{1}{6}\). Always remember to embrace the randomness of life!