Practice 1. A spinner has 12 equal sections numbered \( 1-12 \). a. Find \( P \) (spinning an even number). b. Find \( P \) (spinning a multiple of 5 ).

When you spin the spinner, there are 12 equal sections. The even numbers on the spinner are 2, 4, 6, 8, 10, and 12, making a total of 6 even numbers. Therefore, the probability of spinning an even number \( P(\text{even}) \) is calculated as the number of favorable outcomes (even numbers) divided by the total outcomes: \[ P(\text{even}) = \frac{6}{12} = \frac{1}{2}. \] For the multiples of 5 on the spinner, the only multiple of 5 within the range of 1 to 12 is 5 and 10. Thus, there are 2 favorable outcomes. The probability of spinning a multiple of 5 \( P(\text{multiple of 5}) \) is then calculated as: \[ P(\text{multiple of 5}) = \frac{2}{12} = \frac{1}{6}. \] Now you've mastered the basics of spinner probabilities! Did you know that probability isn't just math; it's a handy tool for predicting outcomes in games or even life decisions? The more you practice, the better you'll get at navigating those uncertain waters! And if you find probability intriguing, you can explore real-world applications, such as in gambling strategies or decision-making processes in business. Books and online courses on statistics and probability can expand your knowledge and help you see how these concepts apply to everyday scenarios—who knew math could be so much fun?