Probubiny hinviving one dile or choosing from n distinct objects A bag contains ten balls labeled 1 through 10 . One ball will be randomly picked. What is the probability of picking a multiple of 3 ? Write your answer as a fraction in simplest form.

To determine the probability of picking a multiple of 3 from a bag containing ten balls labeled 1 through 10, we first identify the multiples of 3 within this range. The multiples of 3 among these numbers are 3, 6, and 9. Therefore, there are 3 successful outcomes. The total number of possible outcomes is the total number of balls, which is 10. Thus, the probability of picking a multiple of 3 is: \[ P(\text{multiple of 3}) = \frac{\text{Number of multiples of 3}}{\text{Total number of balls}} = \frac{3}{10} \] In its simplest form, the probability of selecting a multiple of 3 is \(\frac{3}{10}\). Now, let's dive into something fun! In ancient times, the concept of probability was actually practiced long before the term existed! Ancient Greeks, for instance, used probabilities in games of chance, similar to how we play dice and card games today. They didn’t have fancy formulas, but they understood that some outcomes were more likely than others! If you’re looking to apply your probability knowledge, think about how it can impact everyday decisions! Whether it's figuring out the odds of winning a game, betting in a casino, or even predicting weather patterns, understanding probability can help you make more informed choices and analyze risks. Plus, it can make for some intriguing conversations at parties!