BIG IDEAS MATH H2O i REASONING Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth. The theoretical probability of choosing a letter other than Z is Previous

To calculate the theoretical probability of choosing a letter other than Z, we first recognize that there are 26 letters in the alphabet. Since only the letter Z is excluded, there are 25 favorable outcomes (A through Y). The probability can be calculated as the number of favorable outcomes divided by the total outcomes, which gives us \( \frac{25}{26} \) or approximately 96.2% when expressed as a percent. This concept of probability plays a vital role in fields like statistics, where understanding the likelihood of events can inform decision-making. For instance, you might use similar calculations to assess risks in finance, healthcare, or even everyday choices, showcasing how theoretical probability can guide real-world judgments and strategies effectively!