When rolling two fair dice, what is the likelihood of the sum being less than 12?

During my final year in college, I worked on a project about probability simulations. I created a simple program that simulated rolling two dice multiple times to observe the outcomes. I noticed that out of 36 possible combinations, only one combination—rolling a double six—results in a sum of 12. Therefore, the probability of rolling less than 12 would be 35 out of 36. This hands-on project helped me understand the practical aspects of probability and how it's applied in real-world scenarios.

While volunteering at a community center, I organized game nights for children. I introduced a dice game where we calculated the sums of two rolled dice. I explained that there were 36 total outcomes and that only the outcome of rolling double sixes resulted in a sum of 12. This made the kids realize that every other roll would keep their scores under 12. It was fun and educational, reinforcing my understanding of probability while helping others learn too.

In my first job as a data entry assistant, I often dealt with statistical data that required me to estimate outcomes. For example, I had to analyze sales data based on probabilities of customer purchases, similar to calculating the likelihood of dice rolls. While I didn't directly deal with dice, I applied similar logic to assess trends and patterns. This experience taught me the importance of understanding probabilities in making informed decisions.