Mathematics
Mathematics
Problem
Two dice are rolled together. What is the probability that the sum of the numbers obtained is at least 9? a) b) c) d)Intuitive explanation
When you roll two dice, you're creating pairs of outcomes from a finite sample space—there are only 36 equally likely possibilities. The key insight is to count how many of those pairs give you a sum of 9 or more, rather than trying to use formulas. Once you list the favorable outcomes systematically (sum = 9, 10, 11, 12), the probability is just that count divided by 36.
Intuitive explanation
When you roll two dice, you're creating pairs of outcomes from a finite sample space—there are only 36 equally likely possibilities. The key insight is to count how many of those pairs give you a sum of 9 or more, rather than trying to use formulas. Once you list the favorable outcomes systematically (sum = 9, 10, 11, 12), the probability is just that count divided by 36.