(TL3) 12 You roll a custom-made dice which has 12 sides. What is the probability of it landing on a multiple of 3 ? \begin{tabular}{|l|l|l|}\hline i. & II. & II. \\ \hline\end{tabular}
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When rolling a 12-sided die, the multiples of 3 within the range of 1 to 12 are 3, 6, 9, and 12. That gives us a total of 4 favorable outcomes. To find the probability, you can use the formula: Probability = (Number of favorable outcomes) / (Total outcomes). So here, it’s 4/12, which simplifies to 1/3. Did you know that the concept of probability dates back to the earliest forms of gambling? Ancient civilizations used various forms of dice, which were often made from materials like bones or wood, to add an element of chance to their games and decisions! Over the years, this evolved into the mathematical study of probability that we use today. Now, if you're ever confused about probabilities, just remember that it's all about understanding the 'favorable outcomes' versus 'total possibilities'. One common mistake is to forget to simplify fractions! Always look for ways to reduce your results to their simplest form—trust me, it’ll make you a probability pro in no time!