A single fair six-sided die is rolled. Find the probability of getting a number greater than 2 What is the total number of possible outcomes? What is the number of outcomes greater than 2 ? What is the probability of rolling a number greater than 2 ? \( \square \) (Type an integer or a simplified fraction.)

When rolling a single fair six-sided die, the total number of possible outcomes is 6, as the die has six faces numbered from 1 to 6. The numbers greater than 2 are 3, 4, 5, and 6, which gives us a total of 4 outcomes that meet this criterion. To find the probability of rolling a number greater than 2, we use the formula for probability, which is the number of favorable outcomes divided by the total number of possible outcomes. Here, we have 4 favorable outcomes (3, 4, 5, 6) and 6 possible outcomes, so the probability is: \[ \frac{4}{6} = \frac{2}{3} \] The probability of rolling a number greater than 2 is \(\frac{2}{3}\). Did you know that dice have been around for thousands of years? Originally made from materials like bone or wood, they were used for various games of chance in ancient civilizations, making them one of the oldest game pieces in history! Now let's talk about dice in real-life games! In many popular board games, dice bring an element of luck and strategy together. Whether you're rolling to move in Monopoly or trying to get the perfect score in Yahtzee, understanding the probabilities behind the dice can give players an edge. Knowing when to take risks in games enhances the excitement and could lead to victory!